Let A and B be square matrices of order 2 such thatA=-7 and B=4.What is (ABY"| %3D %3D

Q: Let A and B be square matrices of order 4 such that |A| = -4 and |B| = -4. Find the following. (a)…

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Q: a) For invertible matrices A, BER"Xn, show that ((AB)")- = (A-)"(B)".

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Q: and find matrix Y such that 4 + 2} - 48.

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Q: Find the 2, 3-cofactor of the matrix 1 2 0 0 2 1 -1 7 -3 0 0 0 7 1 0

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Q: Demonstrate that A A-1 = A-1 A = I

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Q: 8. (3pts) Let A and B be arbitrary n x n matrices. Multiply (A – B)(A+ B).

A: As we know that (A-B)(A+B) = AA+AB-BA-BB=A2+AB-BA-B2here AB need not to be equal to the BA. Because…

Q: Illustrate the multiplying any row (or column) by a scalar do to the determinant?

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Q: True or false. Please explain your answer. Let A and B be two nxn matrices. a) b) c) d) If B is a…

A: Let A be a mxn matrix, To Check and explain: whether the following statements are correct or not.…

Q: Let. A=[3,2,1;4,2,3;-2,1,-3] Convert the matrix unit using elementary operations

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Q: Use the following Zero-one matrices to find A v B, A^B, A ов 1 1 A = 1 1 B = 1 0

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Q: Find ∣A−1∣ for the matrix

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Q: -5 4] -5 2 1 ||

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Q: Compute the adjugate of the following matrix: -7 3 -6 0 0 0 0 0 0 0 0 0 adj -7 0 -2 %3D | 2 -8 4

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Q: 4. Find the symmetric matrix, diagonal form of the quadratic form Q = 2x? + 2y2 + 2z2 - 2xy- 2xz -…

A: The objective is to find the symmetric matrix and diagonal form of the quadratic form…

Q: (b) Let A be an m × n matrix. Prove that row(A)- = null(A). =

A: Given information: Matrix A is of order m×n. To prove: rowA⊥=nullA Orthogonal complement: Consider V…

Q: a- B-2 3] and Given matrices Find CAB 3

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Q: Let b₁=(1). -(-9), --(-4), C1 = = (-3). {c₁, c2} be bases for R². Find the change of coordinates…

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Q: ค" ? o - 3 A = %3D 2 -2 -13 %3D

A: We will solve this question using gauss Jordan method.

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

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Q: Find the equation (in standard form) of a circle containing points by using the matrices method:…

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Q: Find all real numbers a, b for which the matrix A nalizable in R. = ( 1] is diago-

A: We have to find all real numbers  for which the matrix  is diagonalizable in

Q: Statement: "Let A and B be n x n matrices, where the columns of A span IR" and B is not equal to the…

A: The given statement is false.

Q: If A + 0 and B+ 0 are square matrices of the same order, then AB + 0.

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Q: Let I be the 2 x 2 identity matrix. What is det (-41)?

A: The given data is:  I be the 2×2 identity matrix  To find det-4I Given:  I be the 2×2 I=1001

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A: Why it is not possible to find the cofactor of a 4x3 matrix?

Q: Let A be the 3×3 matrix of zeros. Describe all solutions to Ax​=0.

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