Algebra question and answers for July 31, 2023
- Q Let A 3 1 3 B 0 7 2 C 9 3 3 and D be four points in R such that AC and BD are orthogonal and AD and...
- Q Find the lengths of the missing sides if side a is opposite angle A side b is opposite angle B and side c is the hypotenuse c 14 4A 45
- Q Consider a linear system whose augmented matrix is 1 3 0 2 4 3 12 k 20 1 1 5 For what value of k will the system have no...
- Q 5 points Express the matrix A 4 1 4 6 19 as a product of elementary matrices
- Q 13 0 77 points References Exercise 2 2A Algo Effect of accrued LO 2 2 2 3 During Year 1 Chung Corporation earned 6 800 Required Based on this information...
- Q Two woodworkers Tom and Carlos earn a profit of 86 for making a table and 65 for making a chair Tom must work 3 hours and Carlos 2 hours to...
- Q 3 Consider the matrix A 1 0 3 3 2 1 5 6 Suppose B is the reduced row echelon form RREF of A Find a matrix U such that...
- Q Solve the following linear system using elementary operations 5x 9y X Ty Answer x y 85 27 26 5 X
- Q Suppose a 2 2 matrix A satisfies and for some a ER 44 4 A a 40 4 A a a Determine an invertible matrix P which diagonalises A and...
- Q etermine the following entries 12 34 A 30 0 3 4 1 3 1 32 24 2 4 2
- Q Consider the accompanying matrix as the augmented matrix of a linear system State in words the next two elementary row operations that should be performed in the process of solving...
- Q 15 Which of the following a b c V2 eigenvector 6 N 0 1 2 2
- Q 3 3 2 points If possible write the vector 5 as a linear combination of the vectors AND 4 2 points If possible write the vector a as a linear...
- Q 2 Lay 1 1 17 For what value s of h is b in the plane spanned by a and a2 D A 0 3 7 2 b h
- Q A be a nonsingular matrix If I A and I A are also nonsingular matrice w that I A I I A
- Q a Solve the following linear system 1 1 HOBBHO 0 1 2 0 01 20 0 1 1 0 32 1 12 13 b If the system in a above...
- Q Problem 3 2 points Find a basis for Span 1 2x 2x x 1 x 1 x in V
- Q Use mathematical induction on integer n to prove each of the following statements 7 c 1 3 4 1 2n 23n n 12 5 2n 1 1 4n for m...
- Q Find the unique n 1 th degree polynomials that pass through the given sets of n data points The data points 1 0 0 1 1 2 2 3
- Q point Find two basic solutions to the following system of homogeneous equations x y 2z 4w 0 4x 2y z w 0
- Q Which is a solution for 4x 8 3x 14 A 2 22 OB 2 7 C 3 D 6 O E 7
- Q 10 marks 1 Given the linear system x 2y 3z 1 2x By z 1 3x y 2z Find the values of a and B if any such that the...
- Q Find all zeros of f x 8x 4 20x 3 10x 2 5x 3 stating multiplicity when appropriate
- Q Let D 1 2 N and D 2 YN two sets data such that 3x 29 11 Yi 1 If MAD 12 find MAD2 2 If If MAD 12 find...
- Q b c a b c 1 2 0 12 1 3 1 7 122 3 3 4 5 L
- Q c What do you understand by the term LU decomposition Write the matrix below in the form A LU 1 5 3 2 1 1 1 where A 0 4...
- Q Solve the following inequality Write the solution set using interval notation Express all values as integers or reduced fractions Enter DNE if no solution exists 1 5 5z 2 3
- Q Find the equation in terms of x of the line through the points 1 7 and 2 2 Y Question Hol
- Q 36 6x 3x 2
- Q Graph the line passing through 5 3 with slope m 4 14 12 10 8 6 4 2 14 12 10 8 64 2 24 8 10 12 14 246...
- Q Find the reduced row echelon form of this augmented matrix 1 2 0 150 1 1 3 200 0 0 1 250
- Q Write the system of equations as an augmented matrix Then use the Gauss Jordan method to solve for x and y x 5y 3 2x 3y 1 Solution Enter the...
- Q The given matrix is an augmented matrix representing a system of linear equations Use the Gauss Jordon elimination method to find the solution of the system 7 6 5 01...
- Q Write the system of equations as an augmented matrix m c 100 250 a 150 C
- Q Convert to Scalar Form Determine how and intersect x 1 4s T y 5 6s 6t and 3x 2y 4z 17 0 1 z 1 3t
- Q By locating the pivots find a basis for the column space of 0 5 4 3 0021 0000 00 U
- Q 7 Identify the singularities of 2 1 z 22 x 2 z and find the Laurent series for this function for each distinct annular region In each region gi general...
- Q 8 Given a b 0 show that the matrix B a 0 88 b has operator norm a Compute its Hilbert Schmidt norm
- Q 11 Admission tickets to the Braden River Little League all star game cost 4 00 for adults and 1 50 for children A total of 225 tickets were sold and...
- Q 1 Solve the systems x y z 14 2y 3z 14 16y 24z 112
- Q 3 Solve the systems 3x 4y 2z 15 2x 4y z 16 2x 3y 5z 20
- Q 1 point Let T be an linear transformation from R to Rs Let A be the matrix associated to T fill in the correct answer for each of the following...
- Q 2 Which of the following sets of vectors are independent i 2 2 3 2 2 4 4 4 6 ii 2 2 3 2 2 4 6 6 11...
- Q write an equation for the graph The equation for the graph is O A NONA O 6 4 2 2 4 6 2
- Q For the function g x 42 3 evaluate and simplify a g 9 4g 3 b g x 8 4x 29 c g x g 8 0 o
- Q Find the focus directrix vertex and axis of symmetry for the parabola 12 y 2 z 1 Focus 1 1 Directrix y 5 Vertex 1 2 Be sure to enter...
- Q E 11 Given a vector A 3a 2a 16a find its components normal to the plane 2x 2yz 8 0 and tangential to it
- Q The island arc running from the Virgin Islands to Trinidad and Tobago is called O The guianas O The Lesser Antilles The Bahamas O The Greater Antilles
- Q 1 Given and 1 3 1 0 find AB and BA 3 AB BA 2 Hint Matrices need to be entered as elements of row 1 separated by commas elements...
- Q Write the system of equations as an augmented matrix 2a 4c 4r 68 6a c 5T 48 7c 14 a 7r
- Q Write the system of equations as an augmented matrix 24 3c 300 100 350 2u y 9c C
- Q Given the matrices A A It is Select an answer Select an answer B If ad possible not possible 5 3 4 3 2 1 3 4 5 to add...
- Q Let A and B 10 2 6 8 5 6 1 3 9 10 then use the matrices above to perform matrix multiplication AB
- Q 4 2 45 2 1 2 T 2 3 33 5 T 11
- Q Matrix A has the dimensions 3 x 6 and Matrix B has the dimensions 6 x 4 What are the dimensions of the product AB X note if multiplication is...
- Q Find the roots of the following quadratic equa tions by factoring 7 x 2x 1 0 8 x 8x 15 0 9 x 1 0 10 x 6x 8 0...
- Q Decide if the following statements are true 1 y 2 is a root of y y 6 0 2 x 1 and x 3 are roots of x 4x 3...
- Q Given the system of equations 2x 3y 9z 15 1 3z 3 3x y 4z 2 a Determine the type of system inconsistent dependent o b If your answer is...
- Q 1 3 marks Find a formula for the nth term of the sequence defined by the third order recursion tn 3 7tn 1 6tn with initial values to 2 t...
- Q Ricardo invests 4100 in two different accounts The first account paid 8 the second account paid 5 in interest At the end of the first year he had earned 292...
- Q The shape of this graph is best described as symmetric skewed constant peaks and valleys 12 10 8 6 4 2 CO 666 0 100 199 2012 Housing Prices 200...
- Q 5 Let a b E R and define a matrix by a 1 T E b a Is T necessarily invertible Explain your reasoning b Show that for all a...
- Q Determine the scalar equation i e standard form of the plane with vector equation 16 0 0 0 5 s 2 t 3 2 5
- Q Pivot the matrix about the circled element 26 0 4 3 0 2 13 The result of pivoting is Type an integer or simplified fraction for each matrix elemen on...
- Q 7 Use the Remainder Theorem to evaluate f x 6x4 x3 15x 2x 7 at x 2
- Q Y x y z b x 4y 22 7 X 2 5 x y 2 4 x y z c x 4y 2z 0 X 2 0 x y 20...
- Q Find a basis and the dimension of the solution space of the homogeneous system 2x2 x3 2x4 x5 0 1 2x2 2x3 x4 0 x1 4x2 x3 2x4 x5 0
- Q Solve the system If the system has an infinite number of solutions parameterize them by letting z t 3x x X X y Z t 4y 4y 2y 15z 25...
- Q 1 a b Let A 0 2 c 00 1 iagonalizable Find the condition on a b c for which A is AX XA A X XA
- Q A 3 1 03 00 1 0 0 a Show that A 5A 3A 91 0 b Use part a to show A has an inverse aka is non singular...
- Q Consider the subspace V of R given by 3 0 4 1 a Find an orthonormal basis for the orthogonal complement V V span
- Q 2013 5 2014 6 2015 10 a Determine the polynomial function of least degree whose graph passes through the given p X p x
- Q 2 The area of a circle is 64 7 inches squared What is the circumference of the circle in terms of 7
- Q JE DE 32 30 Determine if the set S p2x2 is span set of
- Q 6 Consider the underdetermined linear system 3y 2 w 3 2r 2y 2 2 8 3x y 23 3011 Find three vectors 1 m and n in R such that...
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!