2 -3 o 1 2 Let A and B be A = -2 Find an elementary matrix E such that EA = B. E:

Q: 1 et A = 6 -1 1 a) Find the cofactor matrix C, i.e., the matrix whose (i, j)-entry is the cofactor…

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Q: Let A be an n xn matrix and let r be any constant and ka positive integer. Find a formula for the…

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Q: 1 1 -1 -2 0 4 -2 | Let A and C be A = 5 C = 0 1 5 -1 5 -1 5 Find an elementary matrix E such that EC…

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Q: Let A be an n xn matrix and let r be any constant and k a positive integer. Find a formula for the…

A: There is an important property: For two matrices A and B,  Determinant of a product of square…

Q: 1 -2 -4 0 1 0 3 -4 0 1 Let A and C be A = 5 C = -1 -1 5 Find an elementary matrix E such that EC =…

A: Given: Matrix A and C is given. Now we have to find elementary matrix E which follow           EC =…

Q: (1). Find an elementary matrix E so that B = EA where %3D [1 0 B= |0 1 -5 16] 7 A=0 1 L-2 0 2 -5

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Q: 13. Let A be an invertible n x n matrix. Let E₁, . . . ‚Ek be elementary matrices such that E... E₁A…

A: Since, echlon form of invertible matrix is identity matrix.

Q: e Let M = 3e be a fundamental matrix for the system X' = AX. Find the exponential matrix e At et…

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Q: 10. Let - 2 1 0 A=| 0 4 3 1 (a) Find elementary matrices E3 E,E,A = I3 (6) Express A as a product of…

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Q: 1 0 3 -2 -1 3 3 2 1 2 Let A and B be A = 2 1 B = -2 -1 3 2 1 0 Find an elementary matrix E such that…

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Q: 123 A = 3 4 5 Given matrix A above, what is At?

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Q: Let A be an n x n matrix and let r be any constant and k a positive integer. Find a formula for the…

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Q: 5. (a) 8 a b 13 cde Let A be a 3 x 3 matrix and det(A) = 1. Compute det ([(2A)¹]-¹). (c) 2 (d) (e)…

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Q: 5 -2 05 -2 1 1 -2 3 0 1 3 Let A and C be A = -1 3 -1 3 Find an elementary matrix E such that EC = A.

A: We have to find the elementary matrix such that  EC=A. Firstly we will find C-1 such that  E=AC-1.

Q: 1. -3 4. -3 Given A= 0. and B 1. find an elementary matrix E such that EA = B. 1. E - 0 1 0. 1. E- 0…

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Q: (2 -1) (4) Given matrix A 3 and that h(T) = T2 – 2T – 7, find h(T). 5 %3D

A: we have to find h(T)

Q: 1. Consider {:} [} [E} 1 -1 -2 B = B' = 1 (a) Show that B and B' are bases of R³. 9. (b) Find the…

A: Consider the given vectors. B=124,-121,245 and B'=121,-212,111 (a) First, we have to show that B and…

Q: o 1 0] If A=|0 0 1 then show that, A = pI +qA+rA² where I is the identity matrix of order 3. p q r

A: For a square matrix A of order n  |A−λI|=(−1)n[λn+a1λn−1+a2λn−2+...+an]  and the characteristic…

Q: 1 2 0 -1 -3 Let A and B be A = 1 B = 1 0 -1 -3 Find an elementary matrix E such that EA = B. %3D 1.…

A: The given matrices are A=0123010-1-3   and  B=0-1-3301012. Note that the matrix A can be obtained by…

Q: Consider the matrices 3/2 4. 1 2 -2 4 4. 1 -2 3. C = 4. 1 2 A = B = -2 1/2 7

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Q: -1 2 аnd AB 5 1. Find the matrix B. 3 Let A = 6 -9

A: This is a problem of matrix multiplication. Based on the general formula we will solve the question.

Q: -2 0 Compute the matrix exponential e4 for the matrix A eA help (matrices)

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Q: 1 2 1 -1 5 2 and B = (²) a) Given A = -1 3 7 9, 1 -3 0 2 1 15 6. Find 5). Find 1 6/ i) the…

A: The given matrices are; A= 1 2 1       B= 1 2 1      -1 5 2            -3 15 6        3 7 9…

Q: [3 0 0 1 Lo 0 -1] Suppose that A is a matrix such that (A+I)1 Then a. A 1. Lo o b. We can not find A…

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Q: 2 -3 1 2 -2 Let A and B be A = 1 2 2 -3 -2 Find an elementary matrix E such that EA = B. E =

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Q: 1 a b a,b,c e R including A = 0 10 0 0 100 Let the matrix be given. According to this,

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Q: 3 0.5 A = 32,5 Find an invertible matrix S and a diagonal matrix D such that S-ASs = D. S = D =

A: In the question , matrix A=30,5-32.5-6 We need to find invertible matrix S and diagonal matrix D…

Q: conjecture as to what A-1 is in general. 1 and B = 1 , find an elementary matrix E such that B = EA.…

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Q: 1 0 3 0 2 1 -4 -1 A = What is the A42 cofactor for the matrix? 33 - 3 2 4 0 0 3 -1 0 O A) -2 O B) -5…

A: 0

Q: 2 3 -2 -1 Let A and B be A = 1 3 B = 1 3 2 3 -2 -1 2 Find an elementary matrix E such that EA = B. E…

A: Given: A=3201323−2−1,B=3−2−1132320 To Find: Elementary matrix E such that EA=B. Concept: Elementary…

Q: 4 4 -2 þ. if A= |-1 1 3 6 -1/ show that A? = A + KI for some constant k, where I is the unit matrix…

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Q: 2 3 1 2 and B = 2 3 0 5 [1 2-2: Let A = |1 1 |2 1 3 a) Find A-B", if exists. b) Find the matrix C…

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Q: 1 1 Given that y -1 is the cofactor matrix of E = 0 w -1 1 2 -1 Find the values of a, y, z, and w.…

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Q: -3 6. ). Find all a so that the matrix A= -1 1 2 is positive 1 defined:

A: We use the following result to find the alphas. Result: An n*n matrix A is positive definite iff all…

Q: 1 e. Let A = and C = 2 -1 1 1 i. Find elementary matrices Eı and E2 such that C = E½E1A. ii. Show…

A: A = 12-11   ; C = -1121We need to find elementary matrices, E1, E2.…

Q: (1 2 2 1 2 2 b) Let A =| 0 -2 0and B =| 0 1 Find the elementary matrices E,, E,,E, to multiply A, to…

A: We have to find Row Elementary operations to get Matrix A from Matrix B.

Q: [3 a |224 Заб What must a number be for the rank of the matrix to be 1? A = А 3 - O A) 6 O B) 1 O C)…

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Q: II. find DA and AD, if possible, where D = D,(3,0, 2, –1) and A is the given matrix. 2i 1 3i1 0 1+i…

A: Given that¯:A=2i013i01+i80-i10I1111 and D=300000000020000-1To find:¯AD and DA

Q: - Let 3 -2 0] 6,B 3. -2 A : 1 -3 7 12 -2 1 -2 1 a. Find the elementary matrix E such that B = EA. b.…

A: NOTE: Refresh your page if you can't see any equations. . . so the elementary matrix is

Q: II. find DA and AD, if possible, where D = D,(3,0,2, -1) and A is the given matrix. 1 3i 2i 0 1+i 8…

A: We need to find AD and DA  Here A=2i013i01+i80-i10i1111  and D=Dg3,0,2,-1 D is a diagonal matrix…

Q: 1 0 -3 -1 0 -2 Let A and B be A = 2 1 B = 2 1 0 -1 0 -2 10 -3 Find an elementary matrix E such that…

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Q: 9. Find AB and BA given A- G ). -() 10 В - Observe that AB is the null matrix; if we call it 0, then…

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Q: 1 1 3 1 5 1 to the diagona .Find a matrix P which transforms the matrix A = 3 1 1 prm. Hence…

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Q: 0 1 Q29. If A = , then the matrix is definite (b) negative definite (c) positive semi definite (d)…

A: As per the guidelines I solved your first question. For more solutions please repost the question…

Q: [1 2 -1] [1 3 [2 -1 Let A 0 |and C -2] 0 ,B |1 3 li a) Find A¯1, if exists. = 12 1 1 li 3 b) If…

A: Given matrices are A=12-113011-1, B=13201-2, C=2-11103. a) We need to find A-1 if exists. det…

Q: II. find DA and AD, if possible, where D = D,(3,0,2,-1) and A is the given matrix. 1 31] 0 1+i 8 o 0…

A: Given matrix                        D=Dg=3,0,2,-1=300000000020000-1 and…

Q: Let A be a 5×4 matrix. What must a and b be in order to define T : Rª→Rº by T(x) = Ax? a = (Simplify…

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Q: 5 3 Let A=2 -1 8 -7 4 3. 2-1 33 8. Find an elementary matrix E that satisfies the equation EC = A…

A: The Given Equation  is :  EC=A⇒ECC-1=AC-1⇒E=AC-1---(1) Now we will find C-1…

Q: -2 a wi a 8 Consider the matrix A = Oa. a = 4 O b. a = -4 OCAERI{- 4,4} Od. A is invertible for any…

A: Given:A=-2 aa8 Where  a∈ℝA is non-invertible matrixNon -invertible:     If the determinant of the…