Assuming that a​ matrix, A​, has an​ inverse, which of the following is NOT​ true   A. A can be multiplied by any size matrix. B. A is a square matrix. C. A^-1A=I D. AX=B has a solution. E. AA^-1=I

Q: Write down the name of the matrix according to the definition... 19. A"-0 20. AA'=I

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Q: Let A = -5 6 -2 3 -11 14 and define T: R² → R² by T(7) = Az. Find T 5. Find 7 ([^;])-4-[-'₁). = A.

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Q: Given the matrix find A³. Write A³ as input your answer below: a11 a12 = a21 = 922 = = -[-3 0 A = A³…

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Q: Find A¹ and A². A = -32 -4 3 Find A1. A¹ = (Type an integer or decimal for each matrix element.)…

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Q: , and c

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Q: can you put the answer in matrix form

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Q: Find an LU and LDU' factorization of the matrix A. A 435 89 5 8 -3 24

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Q: Write down the quadratic form that corresponds to the following 4 -1 -3 -3 1 324

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Q: Consider the matrix B given by where 2 3 23-3 3 -4 2 -1 0 0 det (A₁) + 4 - 3 5 -5 -4 . Then det (B)…

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Q: 1 2 (24)-- = G ) (2A)-1 3 4

A: (2A)-1 = 1234taking inverse both side :((2A)-1)-1 = 1234-12A =  1234-1Let B = 12342A = B-1A = 12B-1…

Q: Formula valid for matrices? explain why? (A + B)(A - B) = A²B²

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Q: An A12 [ A21 A22. A22 = [-7 7]. Fill in the block matrix. -9 -5 where A11 A12 9 , A21 = [3], and -4…

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Q: Solve for (A + B^T)*(A^T-B)*C and compute for the matrix inverse of B and AB.

A: Follow the procedure given below.

Q: Find the value of k if matrix A is an inverse of * matrix B. -2 k -2 A = B = 3 1 -4. -- 2 2.

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Q: [3 1 21 2 4 -1 6 0 2 -3 0 -1 0 3 A =

A: The element in the first row, second column of the matrix A is 0. So, we have to find the cofactor…