Suppose A, B, and X are invertible 3 x 3 matrices. Suppose that [1 2 0 0 1 1 1 3 • A8 = I3; and 4A-5((A²B)" X)" = (A²B)². 1 1 0 • A-1 and B 2 3 1 1 Find the matrix X.

Q: 2) Perform the following operations on matrices. 9-5 4 (a) 7 3-6 1-5 4 4 3 8 7 -2 -1 9 62 (b)

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Q: find the elelment in the 3rd row and 1st column of the matrix cofactor 7 2 5 3 1 4 1 2 1

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Q: [5] Find three different 2 by 2 matrices that have A₁ = A₂ = 0.

A: Three different 2×2 matrices that have λ1=λ2=0 i.e, both eigen values are 0 are 0100,0020 and -4-284

Q: Q2] a) Write each (PRODUCT) of the following as a single matrix: i -17 2 -2 -1]-i -2 5] -2| -1 1 -1]…

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Q: 2. Assume that all the operations are properly defined, solve the following equation for the unknown…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Let A =  -2 1     0 3     and    B =  2 -3     1 −2. Find a matrix X satisfying the matrix…

A: The given matrices, A=-2103 and B=2-31-2 We have to find the matrix X, that satisfies 2A+X=3B

Q: If A is a 3x3 matrix and det(A) = 7, what is det(2A)?

A: Solution :-  Given : A is a 3×3 matrix               And det(A) =7

Q: 2 4 If A 1 4 - [3³] and B = [2 56 [4 2 24 find matrix such that 2A + B + 4X=0

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

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Q: 3) Consider the following matrix: A= 220 001 0 10 - 1 1 (i) Compute A™ ¹. (ii) Write A as a product…

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Q: the matrIX A into a product QDQ" where Q is orthogonal and D is diagonal.

A: Given,          A=-5-1-1-1-3-1-1-1-3

Q: 1. Consider the following matrices: (b) [2 0 1 -2 ------# C= 1 3 D= 3 2 0 -1 -1 (c) A = 53 Evaluate,…

A: Consider the following matrices.To evaluate the following:

Q: 3. Diagonalize the matrix: 1 1 0 1 0 1 1 1 1

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Q: Find the following matrix product. Be careful to distinguish 2 × 2 matrices in the answers from 2 x…

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Q: Let A = - 3 7 6-1 -3 -6 and B= 0-2 9-6 Solve the matrix equation - 3X + 4A = B for X. -4 -1 X =…

A: To find matrix X

Q: D = 3 1 5 0 -4 5 -2 -4 3

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Q: 1 2 -4 -8 (b) -2 -4, 8 16 This set is

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Q: 5 2 ; B = -2 -2B

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Q: Let V = [- 7, – 7,0] and V½ = [0, 3, – 4]. Use the Gram- | Schmidt procedure to construct an ordered…

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Q: 3) Consider the following matrix: A= 020 100 0 4 1 - 1 - 1 (i) Compute A™ ¹. (ii) Write A as a…

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Q: If A is a 3 x3 matrix and det(A) =-3, what is det(4A)?

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Q: For n × n matrices A and B , when does (A + B )(A − B ) = A 2 − B 2?

A: Commutative rule: The product of two matrix does not follow commutative rule: AB≠BA Given:…

Q: a. Construct a 3 × 2 matrix A such that Aỡ = ♂ has only the trivial solution. A = = b. Construct a 3…

A: To Do: (a) Construct a 3×2 matrix A such that Ax→=0→ has only the trivial solution. (b) Construct a…

Q: Let A, B, and C be an n x n invertible matrices. Solve the following equation for X. Justify each…

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Q: If a matrix A is such that, 3A³ + 2A² + 5A + I = 0 then its inverse is?

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Q: [2 2 Give two different matrices B so that in each case B 2 2

A: Given matrix

Q: Solve the matrix equation Ax = 0, where

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Q: Show that A satisfying A P-¹BP. P-1 -4 2 0-21 0-2 and B (-4(2sqr (-2i(2sqr (-2i(sqrt( 2i(4sqrt(…

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