remaining tin -1 4. Consider the matrices A = 1. B = 5. -1 Compute ((BA)") `if possible. Type unde fined if you think this opera not defined. ((BA)") -

Q: 9. Represent the following relations on A = {1, 2, 3, 4, 5, 6} using a matrix and a digraph. (a) R =…

A: Given that ,  A = { 1,2,3,4,5,6}

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Q: 1 2 2 1 ^-[₁ ²].B - [² 2]- ¹FAB =[a b] . 3 4 3 с d 8. Let 2x2 matrices A = O a = 6, b = 7 O a = 8, b…

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Q: if A is (m*n) matrix, prove 'rank(A)=n-dim(N(A))

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Q: If AT + B = C, what is A?

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Q: -1 Consider the matrices A = 4. B = -1 Compute ((BA)' ) if possible. Type unde fined if you think…

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Q: for any matrix A, inverse of matrix A^(-1) a) |A| adj A b) adj A⁄ |A| c) 1/(adjA⁄|A| ) d) none of…

A: The formula to compute the inverse of any matrix A: A-1=1|A|(adj A)  such that A·A-1=I, where I =…

Q: 10. Show that if M₁ = (1 8), M₂ = (89) (15). then the span of {M₁, M2, M3} is the set of all…

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Q: 2 7 Which of the following is the matrix C that satisfies the equality (c" +312) 1 4 -1 3 (a) 2 -5…

A: We have to find matrix

Q: 15. Two 3x3 square matrices A and B satisfy the equation B=2A. Choose the right sentence: a)…

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Q: 2 1 Which of the following is the matrix C that satisfies the equality (CT- 412) 5 3 -1 (a) -5 (b) 1…

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Q: How is the matrix of R^−1 obtained from that of R in general, that is, when A = {a1, . . . , am}, B…

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Q: Given that P and O are 3 x 3 invertible matrices then (A-"B) = A. AB-! B. B-'A C. B-'A-! D. BA-

A: Given : A-1B-1

Q: Suppose A = [ A²: 13 -30 5 -12 Find an invertible matrix P and a diagonal matrix D so that A =…

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Q: If A is a matrix, what will the following commands display? (Explain them) [m,n]-size(A), inv(A),…

A: 1. A(:,j) will display the j-th column of matrix A. The : symbol in the command represents all the…

Q: Invert the following matrix Зх — 2у — 9 -x + 3y = 3

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Q: 3. Compute each matrix sum or product if it is defined. If an expression is undefined, explain why.…

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Q: 13. A and B are two square matrices of the same dimension. We are given that Aw = 5w and Bw=3w.…

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Q: Which of the following is a false statement if arbitrary matrices A, B, and C for which the…

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Q: If A is a 31x24 matrix whose rank equals 10, find dim(Nul(AT)). Your Answer:

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Q: 4. Using the following matrices solve then verify the following properties: 3 0 4 A = --} -- 1 -- :…

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Q: Given the set of matrices M = {I, A, B, C, D, K} where 1 -( :) 0 I = 0 1 --(: :) C = -1 1 +-(13) :)…

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Q: 3. Find all matrices which satisfy the matrix equation (::)(; })-(; :)(::)

A: Here,

Q: Q1/ Give the mathematical interpretation for the following items ( enhance your answer with a…

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Q: ^= Let A 8 -1 1-2 1 5, let b: ↓ tb=| [3] the set of all linear combinations of the columns of A. and…

A: A=206-1851-21, b=1033 W be the set of all linear combinations of the columns of A. i.e. W=span2-11,…

Q: 34. Is it possible for A³ to be an identity matrix without A being invertible? Explain.

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Q: For what value(s) of k is the matrix A = 1k1 non-invertible (a) All real numbers. (b) All real…

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Q: : 21 = |-1/v2 1/V2-1 1/V2 1/V2]1 o 01-1/v2 1/V2 31[ 1/V2 1/v2] Given the diagonalized matrix A =…

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Q: If A = 3) (a) A + B 2 -6 9 and B = X (b) B-A (c) 2A + 3B -1 J ↓ 1 -10), find A + B, B-A, and 2A +…

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Q: 3. Find the Jordan canonical form %]. 6 4 -69 (a) A= [- 1 241 1 2 (b) A= 4 5 (Ⓒ) A = [5 }]. -2 7

A: We have to find the Jordan canonical form of the matrix over ℂ. Note: There are multiple subparts.…

Q: 1. Let 3 1 -1 -1 2 -1 3 -1 13 (a) Are the matrices A, B positive definite, non-negative definite, or…

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