Algebra question and answers for August 11, 2023
- Q nd a basis for the row space and the column space of the matrix 1 3 2 5 7 2 36 k of each basis Write each basis in reduced...
- Q find an invertible martix X and a diagonal matrix D such that XAX D Let 3 0 25 1 Find an invertible matrix X and a diagonal matrix D such...
- Q Matrix A below gives the fraction of the earth s area and the projected fraction of its population for five continents in 2050 Matrix B gives the earth s are...
- Q Consider the following Find CD 39 103 C 12 0 9 88 D E 0 Find CD E Find DE Find C DE Are CD E and C DE equal...
- Q Use the following matrices to perform the indicated operation when possible If not possible enter IMPOSSIBLE into any cell of the matrix 0 3 1 B M A 543 IE...
- Q Let be the set of nxn real lower triangular matrices The dimension of as a vector space b n 1 2 c n n 1 d n e n 1...
- Q Let F 0 1 2 1 6 7 6 a Are FFT and FTF defined Yes both FFT and FTF are defined FFT is defined and FTF is not defined...
- Q A Use the following matrices to perform the indicated operation when possible If not possible enter IMPOSSIBLE into any cell of the matrix 0 3 17 543 302 Find EAT...
- Q Use row operations on an augmented matrix to solve the given system of linear equations X 2y 3z w 14 x 3y Z W 25 X y 8 2 X...
- Q MY NOTES Use the following matrix to perform the indicated operation when possible If not possible enter IMPOSSIBLE into any cell of the matrix 79 c 3 C Find C3...
- Q nd a formula in terms of k for the entries of Ak where A is the diagonalizable matrix below and P AP D for the matrices P and D below...
- Q MY NOTES Find DE ASK YC Use the following matrices to perform the indicated operation when possible If not possible enter IMPOSSIBLE into any cell of the matrix 82 0...
- Q 8 Assume that the matrix 001 A x 1 0 L1 0 0 has three linearly independent eigenvectors Then x A 1 B 0 D 2 C 1
- Q 3 a By solving a matrix equation express 8 as a linear combination of 0 and H 4 19 b Find the inverse of the matrix 1 2 4 634...
- Q Let V 9 and B be the ordered basis B 1 H 5 Find the coordinates of the vector V relative to B
- Q Given the following matrices if possible determine 4A 3B If not state Not Possible 1 7 4 B 10 6 5 Given the following matrices if possible determine 4A 3B...
- Q M3 2 53 M3 1 14 C2 1 17 M1 3 21 M1 2 7 M2 3 18 C2 2 6 C3 3 38 a3 2 3 a3 1 0...
- Q Let v 3 and vg 3 Let v 4v1 2vg Find Av 1 be eigenvectors of the matrix A which correspond to the eigenvalues A 1 and A 4 respectively
- Q At Suburban Community College 40 of all business majors switched to another major the next semester while the remaining 60 continued as business majors Of all non business majors 30...
- Q Question 2 Let V R Show that W is not a subspace of V where i W a b c a 0 ii W a b c a b c...
- Q ine sales of certain products in three cities are given in the 4 by 3 matrix below City 1 City 2 City 3 68 O 57 75 74 33 77...
- Q Find the limit if it exists of Ax as n approaches infinity for the following matrices If an answer does not exist enter DNE 01 A and x Ilm Ax...
- Q Consider the following sets ER 7x 6y 5z 0 6y 5x 0 B 0 C pe P3 P 2 p 5 5 0 A R3 Select all of the following...
- Q 1 point Find a basis of the subspace of R consisiting of all vectors of the form Basis X1 5x1 x2 8x 6x 9x1 7x2 You should be able to...
- Q Let T R 4 R 3 be a linear transformation Find T 1 3 and T if T 3 5 14 0 2
- Q Find the least squares solution of the linear equation Ax b and compute the least squares error where A 3 2 1 1 4 3 1 10 7 9 2...
- Q In Exercises 15 18 find the spectral decomposition of the matrix 3 1 6 5 1 2 3 2 15 16 2 3
- Q a11 a12 a21 a22 Which of the following is are TRUE Let W Select one or more a W is not closed under matrix scalar multiplication b 8 0 W...
- Q Use the graph to write the formula for a polynomial function of least degree f x 6 4 2 f x 6 I 4 2 2 4 6 2 4...
- Q marks 3 d Consider the following network of irrigation channels with flows mea sured in say thousands of litres per day B 9 A X1 X3 2 X2 X4 9...
- Q 1 1 2 Given that the determinant of 4 22 235 3 is equal to 33 find the determinant of the matrix 1 4 0 1 2 0 2 0...
- Q 5 Let A1 9 42 2 2 x 2 matrices Suppose that 4 1 3 13 43 3 3 1 01 E 0 E2 0 E3 10 E 09 For...
- Q matrix Let a 1 and b 0 A b a a b a b b a
- Q The graph below shows at least one complete cycle of the graph of a trigonometric function Find an equation to match the graph 6 5 3 2 7 3 4...
- Q The row strategy is R 1 2 1 2 and the Column strategy is C 1 4 and the Payoff matrix is P 1 3 3 4 45 Find the...
- Q Find a basis for the subspace of R spanned by S S 5 9 9 1 2 2 1 1 1 STEP 1 Find the reduced row echelon form of...
- Q Diagonalize the matrix by finding a nonsingular matrix P and a diagonal matrix D such that B PDP 1 A 13689 26877867 B B PDP 1 6969 PDP 3 9...
- Q Use the inner product f g f z g z dz in the vector space C 0 1 to find 1 9 and the angle of between of and g...
- Q 2 2 0 2 Decide which of the following if any are an eigenvector of the matrix A above If the vector is an eigenvector of A find the associated...
- Q et W be the subspace of R spanned by the vectors 18 8 81 Eles 10 10 2 3 colt 3 21 0 Find the projection matrix P that projects...
- Q The columns of Q were obtained by applying the Gram Schmidt process to the columns of A Find an upper triangular matrix R such that A QR A 2 3...
- Q Find a 2x2 matrix A such that Av w Av W where v 2 5 w 3 2 W v 3 2 5 2
- Q 1 Which of the following matrices are in reduced row echelon form Circle all that apply 103 10400 01300 e 0 0 0 10 00001 00000 009 a 0 0...
- Q et nd AR 1 1 3 G 9 2 4 11 3 A B 3 2 2 4 0 7 0 7 5 0 2
- Q X Find the value of 3u X y 3v 3u 2 N 3w 7 N 11 y 3v 3w if it is known that 1 2 7 N x y...
- Q Find all values of the a for which S 2 0 3 2 2a 4 0 3 0 a is a basis for R A B R 3 2 2...
- Q Find Q s t Q AQ J where 1 J is the Jordan form A A simplify of 100 A
- Q Find a particular solution of the indicated linear system that satisfies the initial conditions x 0 3 x 0 5 and x3 0 7 4 H 3 21 24 0...
- Q Q1 7 marks Let V span a a2 a3 CR where 0 0 0 4 5 a Use the maple output at the end of this test paper or otherwise...
- Q a e b Let A 10 e b Under what condition will these eigenvalues be real numbers
- Q 5 15 Marks For what value of k is the system 1 3 2 1 2 1 2 3 5 4 4 3 10 2 1 2 X1 X2 x3...
- Q Consider the transition matrix is equal to If this is a transition matrix for a Markov chain with initial state vector xo O 200 150 350 320 180 200 280...
- Q Consider the transition matrix is equal to O 200 150 350 320 180 200 If this is a transition matrix for a Markov chain with initial state vector x 280...
- Q Let T R R be the linear transformation that first rotates points clockwise through 135 3 4 radians and then reflects points through the lin y x Find the standard...
- Q x y z 2 2x y 5z 1 x 6y 4 over Z7
- Q Determine if the statement is true or false and justify your answer If det A 0 then the columns of A are linearly independent True by The Big Theorem False...
- Q Let A 0 1 2 2 3 4 1 4 3 12 1 2 Find PLU factorization
- Q Let A 7 2 5 3 v 06 9 1 9 10 62 Find a nonzero vector in Col A
- Q The matrix A eigenspace 0 15 0 14 0 0 0 14 The eigenvalue is 14 A basis for the eigenspace is has one real eigenvalue Find this eigenvalue and...
- Q 13 2 points Diagonalize the matrix 2 A 1 1 5 2 1 1 3 1 2 2
- Q For the matrix A find an othogonal matrix P such that PAP is diagonal 3 2 4 A 2 6 2 4 23 a 2 3 3 2 1 3...
- Q Given matrix A 2 1 302 10 Find the co factor matrix of matrix A Use your result from part i to find inverse A
- Q Let us consider the matrix A 23 4 1 i Find the eigenvalues and their corresponding eigenvectors of AX XX ii What are the invertible matrix P and the diagonal...
- Q Use the standard algorithm to compute the quotient a 545 107 b 1045 253
- Q Question 3 Compute A 604 2 7 1 312 A
- Q a Write a set of ordered pairs x y that defines the relation b Write the domain of the relation c Write the range of the relation d Determine if...
- Q olve for X 8 73 x 1 X X 5 4 2 8
- Q 5 3 Determine whether each equality det AB det A det B and det A B det A det B holds det AB
- Q 20 Are the matrices A 21 14 023 027 3 3 4 4 0 2 3 4 and B 1 similar
- Q Which of the following sets of vectors in M22 the vector space of 2 x 2 matrices with real number entries usual addition and scalar multiplication are orthonormal with respect...
- Q solve the system of Answer equations 3 x2 423 24 11 3x1 x2 5 4 1 x1 3x2 2 a3 54 1 1 3x2 Note Enter your answer as list...
- Q Let d ghi Sa 56 10c A d e2f 9 h 21 Then A B C 3 and let B and a 2d b2e c 2 NOTATION h det C
- Q Let A 3 2 7 8 17 1 C22 30 000 5 5 29 0 Then the cofactors C12 2 2 6 3 0 0 0 00 1 the determinant...
- Q Let T R R be the linear operator that is a reflection versus the line y x followed by a rotation clockwise by and angle of 2 followed by a...
- Q Let V M2x2 with inner product A B trace BT A 0 3 B 1 3 5 Let A Then A B All answers are numeric 0 2 and B
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
- Unlimited Question Access with detailed Answers
- Zin AI - 3 Million Words
- 10 Dall-E 3 Images
- 20 Plot Generations
- Conversation with Dialogue Memory
- No Ads, Ever!
- Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!