3 - 4 6. 8. Find the following matrices where A = 3-2 and B = - 9 9 -7 0 - 4 a. A + B b. А - В с. - ЗА d. - 6A - 3B

Q: (-2 -1 2 Given two matrices, A1P 3 and B- 11 -2 3 2 (4 2 9 If AB - , find the -2) values of k, p and…

A: We need to solve the equation AB=kI

Q: 5. Find the rank and also the numerical rank of the matrix 1 1 .000a 0.000a where a is the last…

A: To find the rank and numerical of the matrix: 11.0007000.0007

Q: 4. Verify whether the two given matrices are similar. Justify your answers Question a. 1 1 3 1 A =…

A: (a) We have to verify whether the given given matrices A and B are similar or not. Conditions for 2…

Q: Given the matrices below and that A = LU, solve Ax = b. 1 3 4 A = -3 -8 -16 b= 1 1 13 25 1 3 4 U =…

A: We have to solve given problem:

Q: -3 4 Q4) If: (4) = , and [B] is the matrix result from multiplying raw one 5 -1 3 by 2, and adding…

A: given: A=2-34-47-55-13 and B is the matrix result from multiplying row one by 2, and adding to row…

Q: what value is in the 2nd row 2nd column of V x 3Q [3 4 -31 Г2 3 V = |0 -1 Q = 18 5 %3D 12 -2 1 1 5…

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Q: 2. Analyze first the given matrix and identify the most appropriate tool to use and why. -1 2 4 3 2…

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Q: Q5: (A) If the matrix A = [3 5 7; 10 11 12; 2 4 6; 13 14 15], find (5 only) ( 1. A([23],[21]) 2. A…

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Q: 2. The matrix product G o) ( (5 3 is equal to 3 2 5 3 (: ) 3 5

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Q: h-2 -4 -2 3 -6+3h -9 -5 8 Decompose the matrix A= -3 -1 6 into L and U matrices by using the method…

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Q: 2 2 3. Transform the given matrix to RREF -2 1 1 -1

A: The given matrix is; 3 2 2 -2 0 1 1 -1 0. Repost the next question.

Q: Compare (AB) 1 to B 'A for the matrices below. 2 1 4 9 A = B 11 1 2

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Q: for the matrix        4    2  8 A= 4    3  6      3     2   3 What is the element in the third row…

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Q: If A=2B where A and B are square matrices of order 3×3, and det(B)=5, what is det(A)? Select one: a.…

A:

Q: -3 For the matrices A and B, verify that A.B=B.A, where A=[53] and B= 4 4 -51

A: Given :A=5443   and B=-344-5

Q: Given the matrix below, find AB. -1 21 0 and B 1] [3 -2 A =| 5 4 3 Choose your answer here. -3 -2 11…

A: For product of two matrix to be defined, number of column of first matrix should be equal to number…

Q: Which of the matrices that follow are positive definite? Negative definite? Indefinite?

A:

Q: - 7 12 - 14 9A = 1,3,4 12 - 18 13

A: We are given matrix A and eigen vectors 1,3 and 4. Then step1. Find eigen vector corresponding to…

Q: -1 - 3 7 Let A 1 and A 2 be two matrices in M2. = -6 4 7 Choose the matrix that belongs to span {A…

A:

Q: Express the matrix as a product of elementary matrices 2 2 07 [1 A = |0 L3 1 1 3 8 7 ]

A:

Q: Which of the following is a product of elementary matrices for the matrix 4 = a) b) 4FI) 114 0 100…

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Q: (A8)", (^)*, * (21)*". Use the inverse matrices to find and 1 3 1 4 2. 4 2 A-1 = 1 1 B-1 2 4 2 4 3 1…

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Q: 43. For square matrices A and B, is it true, in general, that (A + B)-1 = A¯1 + B¯!? Explain.

A: Explanation of the answer is as follows

Q: [4 2 If A is a non-singular matrix whose inverse is |1 1 find A. * 司 1. 1 -2 B. -1] -1] 1 1/2 C.…

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Q: -3 [1 For the Matrices A = 2 [4 3 and C = | and 3 -1 1 B = Find: (A.B ) – 3 CT

A:

Q: 10 T-1 23 10T 0 -2 -11 3 B = -5 -11 -3 4. 1. Given the matrices A = C =[-3 2 9 -5 7]. 9. -1 9. -6 -4…

A: Given matrices are A=-123100-2-11, B=-62103-34-5-1191-19, C=-329-57D=-26-52, E=3, F=35-117,…

Q: Which of the following matrices are guaranteed to equal (A - B)2 : A2 - B2 , (B - A)2 , A2 - 2AB +…

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Q: - 4 8 3 2 Find the following matrices where A = 8 and B = 6 - 5 9 - 1 - 9 - 1 а. А + В b. А - В с. -…

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Q: Which of the following matrices is in Row Echelon Form? 1 0-4 01 0 0 0 1 0 0 None of the mentioned…

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Q: For the given matrices, find (AB)-¹ 2 5 4¹-[²8] B-1 7 6 B) A) 35 10 4 17 35 17 4 10 -3 2 0 C) 4 17…

A: We know for two non singular matrices A and B , AB-1=B-1A-1

Q: 2. Determine the products C = AB and D = BA if 4 -7 -5 1 -9 -1 3 -5 2 7 6 A = B -13 -4 -3 11…

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Q: Given the matrices below and that A = LU, complete L¬1,U-1, and A-1. 1 -2 -1 1 01 -2 -1° A= 2 -3 -5…

A: We use Gauss elimination method to find L-1, and U-1. After that by using (LU)-1=U-1L-1, we find…

Q: Find the sum of Matrix A and B: [2 5 81 A 1 2 4 [3 2 8 Find AB A-] - [₁3] 1 8 [58 7 B = 4 2 2 [124]…

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Q: Given the matrices 1 3 A=[ B: 24 Find the matrix (AB)T 이유 이 이요 04 21 28 6 12 18 22 6 18 12 22 60…

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Q: 4. Verify whether the two given matrices are similar. Justify your answers Question a. [:] 1 1 3 1 A…

A: …

Q: Q1- for the matrix below: [2 3 7 X = |4 8 9 l6 5 1. [2 2 21 1-Extract the matrix a=|4 4 4 l6 6 6] [2…

A: Given that,x=237489651a=222444666b=237489

Q: -1 Find the product of matrices of A = 1 and B -2 -1 3 0 2 1 -1 0

A: The given matrices are: A=-1310-2-1,B=3021-10

Q: -2r If A = -3 is a singular matrix, then r= ±4 O ±4 O plus-or-minus 5

A:

Q: ". (^) ", (2)". Use the inverse matrices to find (AB and ( 2A -2 1 2 4 2 2 3 1 A-1 1 1 1 %3D B-1 %3D…

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Q: -1 -3 4 -3 4 For the matrices A =| -2 5 6. and B = -2 5 -4 show that | BA|H 4|| B | . -3 4 -2 -1

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Q: Given the matrices: 2 0 4 7 4 1 E = 0 1 8 7 9 5. 0 0 1

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Q: For matrices and 3 -8- -20 B = 8 show that A +B = 1 , 4 where / is the 2×2 identity matrix

A: Given the matrices :

Q: Consider matrix [2 1 A = 3 2 l2 1 -1 1. [30] Find the input matrix for the output matrix 20 lio]

A: Given matrix  A=21332-1211

Q: 2. Find the LU factorization of the following matrices without pivoting 1 2 3 a) A = 2 5 4 354 1 -1…

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Q: Let A be a 4 x 4 matrix with ladj(A)l = -8 , then 2A.adj(2A) = (where l4 is 4 x 4 identity matrix)…

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Q: Q6/ Find the detemination of matrix:- 2 1 5 1 B 1 1 2 2

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Q: The matrices A, B and C are given by - -2 -1 2 1 -3 2 - 1 -1 4 A= -1 2 -1 B= 2 2 1 C= -1 3 2 3 3 -2…

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Q: 6 6 4. -6 10 -1 23 10 0 -2 -11 3 B = -5 -11 9 -3 1. Given the matrices A = C =[-3 2 9 -5 7]. 1 -1 3…

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Q: For the given matrices, find (AB)-¹. 7 2 5 B-1 = | 4²¹-[ -7 6 2 0 B) 17 C) A) 35 10 4 17 35 17 4 10…

A: (AB)-1= B-1 A-1

Q: 2. Orthogonally diagonalize the matrices. -4 4 1 5 (a) 5 1 (b) |-4 4 9

A: The given matrices are; a)  1 5       5 1 b).   7  -4  4        -4  5  0         4  0  9