B. Suppose A and B are 3 x 3 matrices, where B is a diagonal matrix. 1. Describe the sum A+ B. Illustrate your answer with examples. 2. Describe the product AB. Illustrate your answer with examples. 3. Describe the product BA. Illustrate your answer with examples. 4. How do the results in parts (2) and (3) change when the diagonal entries of B are all equal? 5. Is it possible that AB = BA? Justify your answer. %3D

Q: 21 Given the matrices, A = (2 -3) and B = -3 2 find the product AB? AB = (-4 - 3) AB = (-7 1) AB =…

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Q: 2. Find the matrix product, if possible. 7 [-926] 0 -3

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Q: 7. Determine whether each statement is sometimes, always, or never true for matrices A and B and…

A: 7.a)addition and substraction is done for same order matrices.threfeore if A+B exist, then A-B will…

Q: §2.3, Exercise 25. -4 0 2 2 3 1 3 1 4 5

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Q: 6. Given: A =(; ), B =(G ) and C =("2 (-1 1 1 4 Find A(BC). 4 3

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: D. Solve for the Inverse of the given 3x3 matrix below. 4 -2 -6 7 1 8 -3

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Q: se the correct answer below. The statement is true. It is the definition of row equivalence. The…

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Q: 2 2] 2. Solve for x, y and z. -5 6

A: We will solve the problem

Q: Perform the matrix operations.

A: Consider the given matrices as where matrix A is and matrix B is

Q: 3. The following table shows the number of personnel, in thousands, in three brances of the U.S.…

A: Active DutyReserveNational Guard2001753560Change in 20025-152Change in 2003-125-17

Q: Given matrix A = [] applying 2 -6 31 row operation it become -5 -31 what row operation used? a.…

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Q: Perform the​ addition, if possible.   8 −5 1 0 + −9 5 4 −3     Is the addition​ possible?     Yes…

A: A=8-51  0 AND  B=[-9  54-3] AS BOTH OF THE MATRIX ARE OF SAME ORDER 2×2 SO,ADDITION IS POSSIBLE…

Q: Use the matrix below. B =    3 0 0 3   −4 −4 1 9 4 −5 −11 8 Write the negative of matrix B.

A: Given that: B=3003-4-4194-5-118

Q: brackets [   ] located on the right hand side of a standard keyboard. Place a bracket around each…

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Q: Find the inverse of each matrix. 3 26) 0.

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Q: [1 -2 -1] Let A- 2 4 l3 0 -2 -1 3 and B- 3 2 . Express the second column of AB as linear…

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Q: Perform the row operation 3R₁ + R3 → R3 on the matrix. Enter the resulting matrix as your answer. -9…

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Q: 12.32 Construct matrices A1 and A2 such that (A1 A2)† # A,A.

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Q: Use the indicated row operation to transform 6 −2 2 6 2 3 1 2 1 9 −5 5. Interchange R2 and R3 The…

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Q: Perform the matrix operation. Let C = O A. O C. 1 -3 and D= 2 - 3 9 -6 40 5 -6 4 1 3. Find C-4D. -2…

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