Find the elementary matrix E such that EC = A where 3 3 -3 1 3 3 1 A = -1 and C = 2 -3 | 8 -7 2 23 8. 7 ? ? ? E ? ? ? ? ? ?

Q: Consider the matrices A = B = 2 3 (²7¹) and (-18 -1), ₁ 3 (₁1).If A - zB = Select one: O a. 5 O b. 4…

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Q: 7. Consider the two matrices A and B write an elementary matrix E such that B = EA -2 3 8 A = [5, 3²…

A: Solution : Given that

Q: Let A and B be two square matrices. Which of the following statement or statements are always…

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Q: Let (13). Which of the following matrices is a solution X of the equation O O 4 = (1²₂3) A O and B =…

A: Topic = Matrix

Q: 1 2 -5] -2 3 0 2 A = 7 -3 2 2 -1 4 0 0 0 -1 -6 4 B = 6. -1 4 1 Given matrix A and matrix B,…

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Q: -61 -2 is A- = 23 1 3 (7) The inverse of the matrix A =-2 -5 1 26 %3D 6 7 8. Truc b. Fulue

A: Given: A=13−2−2−516723

Q: 1 2 5 9 Determine the inverse matrix of 69 A. 2-1 9. 5. B. 2. 1 5. 9. 1 -9 -5 D. 2 1 2. C.

A: Option A is true

Q: What is the TRUE statement if given, -2 3 9 cofactor matrix of matrix A is 8 -11 -34 -5 21 i.The…

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Q: Ex. 600. Given the 2x2 Matrix A 1 2 11 3 Determine B=A+A and C=A-A Answers:…

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Q: find A*B and B*A for the matrices A= 10 1 2 1 1 3 2 -1 B= 0 0 3 1 2 4 -1 -1 0

A: We have to find AB and BA for the matrices                                             A=10121132-1…

Q: ; = \57 -77 -80/ В — 42 72 75 4 288 -82 -1 4 а. Find B-1

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Q: (1 2 and B 3 5 -5 1. Let A = 3 a. Find AB. b. Find s,t in B if AB = I , where I is the 2x2 identity…

A: Part (a)

Q: 3. Give an example of two 2 × 2 matrices A and B for which (AB)² # A²B².

A: To prove above equation with an example

Q: Suppose that T() and 7 () -E Find the standard matrix A for Tand find T(:) 14 and 2 and T (HD A-3…

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Q: – 10 - 5 12 - 40 | find two elementary matrices C - 2 - 5 15 19 Given that A = 3 7 - 21 and B = 13 -…

A: To find elementary matrices C and D

Q: 2 Consider the matrix below. What is the value of 2a11 – 3a22+ a32 =? - 5 A = (aj) -1 3 -1 b) 4 d)…

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Q: Suppose A= #B+C where B is symmetric and C is skew-symmetric matrices, 56 B = b12 then byn %3D O a.…

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Q: -() --()-() 3 6 3 3 1 2 1 2 1 1 2 1 3 1 2 3 2 2 A = 3 1 2 В C = 4 4 3 4 4 3

A: Claim: We have to find E such that EA=Bi.e. E=BA-1 And F such that, FA=C i.e. F=CA-1 A=121312443then…

Q: 2 1 Which of the following is the matrix C that satisfies the equality (CT – 4l2) 5 3 -1 3 (a) 2 -5…

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Q: <= [-5 1 is the product X = E₁ E₂E3 of elementary matrices E₁, E2, E3, find -5 35 E₁ = If x= 03-894…

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Q: Which of the following matrices is singular? O a. -1 2 3 1 1 1 2 2 b. -1 2 3. 0 1 -1 -1 3 -1 2. O d.…

A: A square matrix is said to be singular if it is non-invertible. To determine if a matrix is…

Q: -11 36| and P 10] 3 2. Find the diagonal matrix of A = -3 answer -21

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Q: Which one of the following s a symmetric matrix? .a 5 3 2 3 4 11 2 11 6 .b 3 2 11 4 3 6 11 5 .C 5 2…

A: Suppose A is a square matrix then A is  Symmetric if AT= A

Q: Find a matrix X such that AX=B 0 6 A = [²2 -B = [1 2 ] 91 L7 8. 4

A: Given that we have to find a matrix  .Obviously order of the matrix  is .Let Now so  ,

Q: compute the indicated matrices B -C

A: To compute the indicated matrices B – C Given information:

Q: 3 1 2 Compute the adjoint matrix of A = 3 2 2 1 2 3 Select one: 1 4 а. -7 8 4 -5 3 1 -2 O b. -7 7 4…

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Q: Let A = P = -4 6 -12 3 3 -1 -3. Find an invertible matrix P and a diagonal matrix D such that D =…

A: Eigenvalue: A number  is said to be an eigenvalue of a matrix A if there exists a non-zerovector x…

Q: Which matrix is not similar to

A: Given that Matrix- X= 011112-12114, A=21-121011114,B=01111411-122, C=0-111-12121-14, D=100030003,…

Q: Which one of the following is an upper triangular matrix? .a 5 3 1 0 -5 2.6 0 0 5 .b

A: Upper triangular matrix is the matrix in which the values below the main diagonal are zero and the…

Q: Find the matrix A such that 10 [-13]4 ;]₁ = [ A -1 3 Hint: Let A = A = a b [26] d -1 -5 2 8

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Q: Which one of the following matrix is a Lower triangular matrix?

A: A triangular matrix is a special kind of square matrix in linear algebra.    Find: Which one of the…

Q: 5. ( 4 0 -2) D= -2 1 -2 5 A= B = (-1 4 3) 3 3 (1 -' H= (3 3 2 E= 5 0 -1 4 -1 G= -2 5 F = (3 -2)…

A: Given-  A = 51          B = -143         C = -2532        D = 40-2-211134E = 33250-1      F = 3-2…

Q: This matrix Cah be considered a deaf -20 Matrix Art -1 -12

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Q: Find the minors and co-factors of C2, C2, C, C3, C23 of the given matrix 7 -12 A = 8 -5 11 -9 -1 -19

A: We know Minor, Mij is the determinant of the matrix obtained by deleting ith row and jth column…

Q: Q1/ If 1 4 -3' -3 8Y 2 -3 -6,B = 1 1 and C = 2 11 -2 6. -3 are three matrices find |D"| where D = A?…

A: The given matrices are: A=1042-3-6902 ;       B=30-30111-26    and     C=0-38021-301