III. Evaluate the inverse matrix of the following: 1.) Using Adjoint Matrices [2 3 11 A3 4 1 L3 7 2] 2.) Using Elementary Row Operations [102 1 341 -2 2 2 1 -1 LO 2 1 -1 A =

Q: Multiply matrix [1 2 3] by [5 4 2 030

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Q: The matrix on the right results after performing a single row operation on the matrix on the left. 0…

A: Given:  row operation produces: To Find: To identify the row opeartion to be used.

Q: 3 2 Let A = Write 2A. Is det(2A) equal to 2det(A)? 1 9 2A =

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Q: Show AB + BA for the indicated matrices. A= 2 3] B = -1

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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: Let A and B be two 4x4 matrices with rank(A)<4. Then rank(AB)=4. E ((C Select one: OTrue OFalse

A: We know that  Rank(AB) = min{rank A, rank B} Since Rank A &lt; 4

Q: 4. Decide whether or not the matrices are inverses of each other 1 1 2 4 -2 4 and 1 1 4 -4 2 4 A)…

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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: State the next elementary row operation that should be performed in order to put the matrix into…

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Q: = [2 1 3 -1 -1 -1 2

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Q: 2 (1 2 3 B =25 3 108 C = 2 -1 0 -4

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Q: Find AB using the following matrices: 7 8 1 2 3 A= B= 9 10 4 5 6 11 12

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Q: Let A and B be the following matrices: A 2 0 [ -4 4-4 B = 4 - -2 -4 3 Find the matrix product A. B:

A: Given A=4-4-23,B=-520-44-4

Q: 1 1 1 1 -2 -2 2 3 -1 -1 -4 8 -1 3 11

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Q: Consider the given matrices: -2 4 51 [A] = | 1 -3 7 | 2 6. 96 [5 9 [B] = |0 3 -2 Lo 1 1 4 1. Find:…

A: Matrix Multiplication:  To multiply two matrix the number of column of first matrix must equal the…

Q: Consider the following matrix: 1 2 3 0 1 1 -2 3 5 1 7 78 Do the columns span all possible 4 × 1…

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