3] [1 2 Find A¹ of The Matrix A = 3 2 -1 3 1 2]

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: Let (x, y, z) E R³ and the transformation T: R³ → R² be given by T(x, y, z) = (2x + 4y, x + 3y + z).

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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: -1 2 4 Find the 1-norm of the matrix 3 -2 0 1 -1 2.

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

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Q: Write down the (1,2) minor of the matrix 1 -1 3 -1 1 01 45

A: Given A=1-11-101345

Q: 2 -1 3 1 0 0 1 A = -1 2 no

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Q: Determine the cofactor of 2 in the matrix A = 1 9. 7 4 O-4 3. O -3 2.

A: Cofactor of any element aij is the determinant of the matrix formed by deleting row i and column j…

Q: Find the characteristics roots of the matrix 2 A =| 1 2. 2.

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Q: 6. Let A be a 2x 2 matrix such that (a) The above equations can be written in the form A -1 0 -1 0 B…

A: The objective is to find the matrix B. heck whether the matrix B is diagonalizable or not and also…

Q: 3 1 Let A Solve the matrix equation -3 -1 XA - X = 2AT + I for X.

A: To solve the matrix equation XA-X=2A^T+I

Q: Find a non-zero 2 x 2 matrix such that -5-2 6 15 -[88]- =

A: We have to find a non zero matrix such that the given rfelation satisfies.

Q: Find a 3 x 3 matrix A such that A A A A = 1 4 0 = 2 0 -1 B-B EL. 0 2 1 = -3 and 0 -5 0 -5 B-B 0 -5 1…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Express the quadratic equation in the matrix form x Ax + Kx + f = 0, where a Ax is the associated…

A: The given quadratic expression is .We need to convert this quadratic in the form .

Q: Diagonalize the matrix -5 -2 A = 3 [ by writing it as A = PDP-1

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Q: Determine the cofactor of -2 in the matrix 1 0 3 7 -1 0. - -2 6 5

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Q: Express the quadratic equation 2x2 + 4xy + 7x – 2y + 8 = 0, in the matrix form x" Ax + Kx + ƒ = 0,…

A: Express the quadratic equation2x2+4xy+7x-2y+8=0,in the matrix form xTAx+Kx+f=0,where xTAx is the…

Q: Let A be a 4x4 matrix and det(A)=2. Find det(2A-)'

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