Algebra question and answers for August 09, 2023
- Q We find the domain by finding all real inputs Step 2 The domain includes all real numbers except inputs x values that result in real outputs 1 values that result...
- Q y t y t te y 0 2 y 0 1 by laplace
- Q Given is a equilateral triangle What colours do you need to specify for the vertices in order to make the centre point light grey RGB value 2 3 2 3...
- Q Consider the point P represented in 3D homogenous coordinates as P What statement about p the transformed point P after first performing a translation by O a O d P...
- Q c Find the value of the following determinant 1 2 8 5 T 7 1 3 9
- Q 5 Let G Z9 X Z12 X Z16 a Find all subgroups of G of order 144 b Let H 3 3 6 the cyclic subgroup of G generated by...
- Q Solve log x 3 logg 3x 5 0 Select the correct answer below 01 0 1 05
- Q Given the diagram below U 1 5 A B V 9 2 answer the following questions W Which of the vectors A B or C also represents the vector u...
- Q Let G be the solid in the first octant that is inside cylinder x y 4 outside the 2 sphere x y z 2 4 and between the planes y...
- Q A chemical manufacturer wants to lease a fleet of 28 railroad tank cars with a combined carrying capacity of 420 000 gallons Tank cars with three different carrying capacities are...
- Q In Exercises 33 36 write each matrix equation as a system of linear equations without matrices 33 2 3 30 1 34 13 90 9 3 kontroll 2 0 1...
- Q What is the common ratio of the sequence 1 1 3 4 2 3 3 2 4 3 3 4 2
- Q Exercise 7 2 6 Find A4 for the matrix 1 0 0 1 1 02 002 A 0 000 1 0 of Exercise 7 1 8 using the eigenvalues and...
- Q Give an example of matrices A B M2x2 such that null A B is not a subset of either null A or null B
- Q Find all matrices A of the form 0 A 5 0 0 6 5 1 6 0 1 0 0 0 0 0 N 0 X Y 0 Z 0...
- Q Which one of the following is a subspace of M2x2 20 a b a d a b 8 1 a b a b a b 0 c d 1 d
- Q Select a spanning set for the subspace S x y z ER 3x 2y z 0 of R 1 1 0 2 1 1 3 2 1 0 0 2...
- Q Find the values of for which the determinant is zero Enter your answers as a comma separated list 2 4 0 5 3 OO 24 2
- Q 1 Use expansion by cofactors to determinant of the matrix 0 43003 1 6 2 2
- Q 15 Subject to which constraint the function f x y z x y 2 does NOT attain its maximum value A x y z 1 B x y z 1...
- Q 7 marks Let P be the plane through the point A 2 1 1 with normal vector n 2 2 1 a Compute parametric equations of the plane P b...
- Q 89 Basis and Dimension Find a basis for and the dimension of the subspace of R spanned by the following sets a 0 1 2 3 0 1 3 2...
- Q 3 Consider the subspace W span V V2 V3 Spon C100 10 3 1 1 1 1 20 0 Let v 1 2 4 1 i Find the orthogonal complement...
- Q In each part the augmented matrix for a linear system is given in which the asterisk represents an unspecified real number Determine whether the system is consistent and if so...
- Q 1 If A M16 8 IR then a The minimum Rank would be b The maximum Rank would be c The minimum Nullity would be d The maximum Nullity would...
- Q 5 Let T R T x 1 R2 be a linear transformation defined by 1x Find the kernel of T
- Q Let 183 X1 X2 8 X3 883 Describe all solutions of 31x1 x 3x3 Z4X4 4 18 x2 1 4 3 z 7 21 23 z 3 x4 04 9...
- Q What is the y intercept of the line shown below The y intercept b is the y value when the graph crosses the y axis Here the graph crosses at...
- Q 4 For given equations 10x 2x2x3 27 3x1 5x2 2x3 61 5 x x2 6x3 21 5 a Solve by naive Gauss elimination b Solve by LU factorization Solve by...
- Q 2 For each triangle use two different methods to determine x to the nearest tenth of a unit a b 35 X 1 0 cm 0 7 cm X 24...
- Q Suppose T R R4 is a linear transformation with T standard matrix A such that T x NOTE e refers to the ith column of the n x n identity...
- Q 35 Myranda received a movie gift card for 100 to her local theater Matinee tickets cost 750 and evening tickets cost 12 50 each the possible If x represents the...
- Q Which of the following are true for both absolute value and square root parent functions A II and III B L II and III C II III and IV D...
- Q would your formula look like Use the mock spreadsheet below as a reference 5 C 0 00 0 12 Hint 1 Day 2 Yesterday 18 3 Today 30 4 A...
- Q 11 In 1990 the city of Andover had a population of 15 000 people Since then the population has grown by 3 3 each year In 1990 the city of...
- Q Match the correct definition with the type of income consistent Income Inconsistent Income a Your paycheck is a set amount matter the hours you work b Your paycheck will change...
- Q Question 1 The table of values represents a linear function g x where x is the number of months that have passed and g x is the value of the...
- Q Consider the matrix A below 09 A 3 5 6 Determine the inverse of A and enter your matrix entries in cells below A 1
- Q Score for Question 2 of 4 points 4 2 v 9 2 is transformed using the transformation matrix A 1 What is the resulting vector Show all your work Answer...
- Q 2 Is b a linear combination of a and a2 Let 0 3 3 and b 2 Yes b is a linear combination of a and a2 Ob is not...
- Q 3 Is a linear combination of a and a Let B 1 2 1 Yes 3 and Ob is not a linaer combination of a and We cannot tell if...
- Q 3 State the type of system of equations y 4x 1 20x 5y 5 O Inconsistent Consistent and dependent Consistent and independent O None of the above
- Q Problem 5 3 points Consider the square in R with corners at 1 1 1 1 1 1 and 1 1 There are eight symmetries of the square in cluding...
- Q Solve the following eigenvalue problem AX 2X 1 1 1 11 A 1 1 1
- Q Here is the graph of y f x 5 4 3 2 3 Below is a graph of a transformation of y f x 54 3 1 1 2 0...
- Q Let T R R be a linear transformation defined by T v Av 1 0 0 10 1 Find T 3 1 1 L2 1 2 A 2 Mar
- Q 3 Use Gauss Jordan elimination to solve where possible the systems of equations AZ B with the following augmented matrices giving the complete general solution where it exists If the...
- Q 3 In each case show that S is a subring of R a b a S a b c d R a c b d R M R b a...
- Q 2 4 6 8 Let A 1 3 0 5 1 1 6 31 a Find the basis for the null space of A b Find the basis for the...
- Q 21 197 23 2 OFI 8 8 8 P 6 9 HANS k 1 19 0
- Q 18 A ship leaves a Port and heads directly East at 25 miles per hour for 2 hours Then the Captain sees an Oil Rig that is N60 W from...
- Q 7 Find the area and perimeter of a regular nonagon with a side length of 10 cm Derimoter 8 Find the area and circumference of the circ answers in exact...
- Q Consider the matrices 3 B Verify the following expressions where possible and give reasons 5 1 A BC A B C 5 2 AB C A BC 5 3 a...
- Q Which of the following sets is orthogonal ON 4 2 0 0 0 1 1 2 0 OA OB 4 3 1 0 1 1 1 1 1 1 3...
- Q Determine the Magnitude and direction pixel locations 1 3 and 3 4 the following matrix Comment on the results 128 128 128 128 128 128 1 1 1 1 1...
- Q Check if the given set of polynomials form a basis for P set of all polynomials of degree less than or equal to 2 1 3x 2x 1 x 4x...
- Q The matrix 6 3 6 3 0 6 has a singular value decomposition A UZVT where and and A U V 15 3 3 6 Sual al sl si 12...
- Q Let B b1 b and C C1 C2 be two bases for R where 3 13 2 0 9 18 C1 b If the change of coordinates matrix from C...
- Q The matrix 3 3 3 5 5 has a singular value decomposition A U EVT where 0 19 and and A U V 0 5 2 0 3 2 0...
- Q Consider the linear transformation T M22 P2 given by T a b a b c 5d a b c 5d z a b c 5d z Then the dimension of...
- Q Let 0 2 0 Find the orthogonal projection of y to W W span 1 2 0 and y
- Q The LU factorization of A A To solve the system 3 1 1 1 5 2 x 0 Ly 1 1 2 Ux 00 1 3 10 0 2 1...
- Q 3 mi Answer 3 mi Image Description What is the perimeter of the shaded region Give your answer as a decimal number with units What is the area of the...
- Q Identify the two statements that contradict each other 9 a APQR is equilateral b c APQR is isosceles APQR is a right triangle
- Q 1 Find a basis for the subspace of matrices A R 2 that satisfy the following equation 1 4 42 688 1 A 00
- Q Given A 1 3 1 1 2 3 4 6 2 15 and b 1 3 6 a Find the LU factorization of A b Using LU factorization find the...
- Q Let M be the following matrix with entries from Z5 1 1 3 0 2 3 0 1 Which one of the following is a basis for the null space...
- Q 10 Let P 0 001 2 3 0 1 3 and X 1 a Show that XP X Is the result in part a to show that X P 1...
- Q Find the real matrix e where O O O 64 C e4 eA 12 O e 2 4 3 1 3 1 2 1 3 1 4 1 10 0...
- Q I need the MATLAB codes for TASK 3 only t Task1 Write the symbolic math expression for one period 1 of the periodic signal x t shown in Figure 4...
- Q Consider the real vector space with ordered bases 04 1 id respectively Find the change of basis matrix id O id 11 id 83 id id id 112 112 1...
- Q Consider the following vectors LOT Which of the following statements are true select all correct answers u Vector x lies in the plane spanned by v and w Vector w...
- Q A QR factorization of A is given Use it to find a least squares solution of Ax b A 21 20 Q N M2 3 3 T W 32 32...
- Q Compute A A and A CO A F A A 00 11 A 0 6 4 5 1 5 3 3 5
- Q stando 5 If A is a matrix that satisfies the equation 2 t t AY 2 A 5A 4 I 0 show that A is invertible and find a formula...
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