For the matrix A, find an orthogonal matrix P such that P-¹APis diagonal. 1 1 0 1 10 [002] A = 01 01 1 100 /2 6 √2 0 0 √20 /2 1 ΤΟ 1 - 1 0 −1 −1 0 1 1 10 0 0 1 0 1 1 √20 0

Q: 3| |1 Let A 3 1 4 3 1 3 41 1) Verify that: AadjA = det(A) I (Where I is the identity matrix) 2) Find…

A: given matrix isA=1331431341) to verifyA.adj(A)=det(A).I2) to find A-1

Q: Find the power of A for the matrix A = A16 = -1 000 0 0 1 0 0 0 00-1 0 0 000 1 0 0000 -1 00081 00000…

A: We have to solve above matrix question

Q: Find matrices A and B in M2(Z) such that AB= 0, but BA+0. 3.

A:

Q: Use the following matrices to perform the operation, if possible. (If not possible, enter IMPOSSIBLE…

A: C=9101D=2653

Q: Let A be the following matrix: A = - -1 2 -1 0 0 0 -3 -2 0 3 -1 -1 1 Find a QR factorization of A. 0…

A: Given that a matrix A=-12-10-1100-3-203 Find the QR factorization of A. The process of QR…

Q: (2) Consider the matrix -[: ] A = Find the unique x, y E R, such that A? = xA – yI (where I…

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Q: Use the matrix P to determine if the matrices A and A' are similar. P =   −1 −1   1 2,   A =   14…

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Q: For the matrix A, find an orthogonal matrix P such that P-1 A Pis diagonal. 3-2 41 A = I ده است مراد…

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Q: [a b] [add] c A² − (a + d)A + (ad – bc)I = 0 Show that the matrix A = satisfies the equation

A:

Q: Find a basis for the null space of the matrix. [10-7-2] A = 01 7-2 00 0 0

A: The given matrix is A=10-7-2017-20000. We have to find the basis for the null space of the matrix.

Q: Find the change of basis matrix [] and use it to find [v].Ⓡ. B B 0 {Q[C])} 4 [V] B 0.5 -0.5 1.5 1 16…

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Q: Give an example of a non-zero 2 × 2 matrix R which satisfics R² = 0. Suppose that M is an n x n…

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Q: 10. B =

A:

Q: Find vectors x and y with ||x, = 1 and ym 1 such that ||A||₁||Ax|, and A||- ||Aym' where A is the…

A: Given, The matrix  A=4-1-230-3102 We have to find the vectors x and y with xs = 1  and ym = 1 such…

Q: -37 -1 0 -1 4 0 -1 -1 4 -1 0 A = 3

A: Here we use the gram Schmidt process to find the QR decomposition of matrix

Q: Find the change of basis matrix from B₁ to B₂. B₁ = OLD 0 -8 eBook 4 B₂ = 2 -3 -1 3 7 4 (HH) -2 2 -8

A: The given bases  B1 and  B2  are ,   B1 =  542 ,    8   0-8  , -3   3   2    and             B2 =…