Show that AB and BA are not equal for the given matrices. 1 1 4 B = 1 1 4 4 A = 1 1 4 5 1 1 4 4

Q: Which of the following matrices is not in row echelon form? Ti –2 3 77 0 150 0 001 A 1 -1 6 5 97 0…

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Q: 1. Calculate the product C = AB of the matrices A and B 1 8 A = 4 B = [ -2 -5 3

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Q: TRUE/FALSE If A and B are nonsingular n × n matrices, then A+ B is also nonsingular and (A + B)−1 =…

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Q: If A and B are any two n x n matrices, then (AB)7 A' B Select one: O True O False

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Q: Suppose A and I are bothn xn matrices, then а. А 0 = |A| I b. A 0 = |4|"| I c. A 0 :-|A| 0 I d. | A…

A: I am solving only question-1 as per bartleby policy. Please post other questions as different one.

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: Example 1.2

A: Find the product AB of the two matrices.

Q: Which of the following matrices are similar to a diagonal matrix? 2 3 0 2 3 (a) 0 1 0 (b) 0 1 Lo o 2…

A: Given:Diagonal matrix:Diagonal matrix is a diagonal matrix when all entries  that are not on the…

Q: (a) Write down two 2 x 2 non-zero matrices A and B such that AB = 0, the 2 × 2 zero matrix. 3 4]…

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Q: Show that AB and BA are not equal for the given matrices.

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Q: 2. Let a = 2 and b = Calculate the following matrices. *a. aa c. b'b e. abT *f. a'b *b. ala d. bbT

A: As per guidelines only three sub-parts can be solved in one answer. For further solutions please…

Q: 3. Show that A and B are not similar matrices. [1 A = 0 2 1 -1 Lo 14.8= [2 1 1] 1 0 L2 0 1 ,B= 0

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Q: Express A and A-1 as a product of elementary matrices. 0 5] A = 0 1 6 1 0 3] [1 0 5] 0 31

A: Here in the given question matrix A is given and objective is to express A and A-1 as  a product of…

Q: 1 0 6. Given that A' = and B Which of these matrices equal (AB)? 1 2 2 2 (a) 0. (b) (c) -2 -2 (P).

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Q: 5. Given the two matrices 1 9. 6 1 A = {2 -6 and B = 4 2 -1 4 -1 -1 -4 show that A B + B A.

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Q: Find AB given the matrices * A = [, 31 [3 B = -4 2. [1 -2.

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Q: Let A, B, C be (3 x 3) matrices, such that det(A) = 2, det(B) = 7, det(C) = 1. What is the value of…

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Q: Given that matrices A and B [1 3 41 A = 2 0 0 lo o 31 01 Where and B = 1 3 Find (i) (A-3B) +Bt (ii)…

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Q: Use the fact that matrices A and B are row-equivalent. 1 2 1 5 1 2 A = 3 1 7 2 2 -2 11 25 8 -1 8 1 0…

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Q: Select the pair of matrices, A and B , for which AB = 0, even though A + 0 and B 0. 6 4 1 -1 O A =…

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Q: 3. Show that A and B are not similar matrices. [1 2 0 A = 0 1 -1.B [2 1 11 ,B= 0 1 0

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: 7. Give the two matrices, Г1 2 3] A = |1 1 2 and B= 0 1 2 [i 1 1] 2 1 2 3 1 2 (a) Find det A, det B,…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find the rank of the following matrices: 1 2 2 3 3 2 1 тank(A)— 2 3 таnk(A)—

A: We use the definition of the rank of a matrix to find the rank of given matrices.

Q: Let A and B be 3 × 3 matrices with det(A) = 4 and det(B) = 5. Find the value of (a) det(AB) (b)…

A: a). b).

Q: Express each of the following matrices as a product of elementary matrices: c-[3 위 [1 2 0 D= |0 1 3…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: 27. Diagonalize the following matrices, if possible. [1 (a) Г5 1] (b) 0 5 [3 (c) [1 5 [2 3] (d)

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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: For the given matrices, find (AB)-¹ 2 5 441 B -7 7 6 35 17 B) 4 10 A) 35 10 4 17 11 2 C) 3 3] 0 4 17…

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: 30. Which of the following matrices is not diagonalizable? 20 [3 2 5 (a) 04 7 (c) 0 10 09 001 [2.0…

A: See the details solution in below

Q: Suppose A and I are bothn x n matrices, then a. A 0 -|4| 0 I b. A 0 = |A| с. | А 0 -|4|" 0 I| d. A 0…

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Q: Given that matrices A and B O 2] A = |1 0 2 lo o 1] [o o 21 [o 2 and B = 0 Lo 1 01 Where 1 2 3. Find…

A: A=002102001 and B=020012013

Q: Find if possible the matrices: a. AB   b. BA.

A: Given that: The matrices, A = -1-2-3  , B = 123

Q: Consider the matrices shown below: [4 B = [1 4 2 C = 3 1 5 2 Find the value of K such that: 5 9 9…

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Q: Find if possible the matrices: a. AB   b. BA.

A: It is given that, A=243142  and  B=320-1-35 We have to find if possible the matrices:     a. AB   b.…

Q: Assume that A and B are nxn matrices. Which one of the following statements is NOT always true? 1.…

A: Hence this statement is true.

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: Show that AB and 8A are not equal for the given matrices. 11 5 5 AB BA 151/2 1515 1會

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Q: Let A and B be 3 × 3 matrices with det(A) = 4 and det(B) = 5. Find the value of (a) det(AB) (b)…

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Q: Consider the following two matrices.  Why can't the product of the following two matrices be found?…

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Q: Find if possible the matrices: a. AB   b. BA.

A: The matrices A=426135 and B=234-1-20. Then we have to find AB and BA.

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: Find if possible the matrices: a. AB   b. BA.

A: Given:A=2-31-111-21 B=12-1154105

Q: If a, b, and c are real numbers and c # 0, then ac = bc implies a = b. For matrices, AC = %3D BC, C…

A: According to question,a, b, c ∈ ℝ,andc ≠0,then,ac = bc,⇒ a = bA = 214321132B = 51692-3-137and C =…

Q: A and B are twonxn matrices, then which one of the following statements is always true? OA…

A: Choose the correct option.

Q: Which of the following matrices is negative definite? 3 0 -1 3 (C) -6 (D) 3 1 (A) 0 (B) 0 1 -17 0 0…

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Q: Give the two matrices, [1 2 3] 1 1 A = |1 1 2 and B= 2 1 2 0 1 2 1 2 (d) Find (AB)-1 and (BA)-1.

A: Explanation: Given that,                          Here both matrix are 3*3. So, multiplication is…