Bis a 3 x 3 matrix with det(B) = -2. What is det(B" B)? O -2 O 4 O -1 O -4 O 1

Q: 3. Find the value of a, where A = 43 L-2 0 a -3] 2 is singular matrix.

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Q: 3. (a) Solve the matrix equation for X: -1 0 1 1 2 1 1 -3 1 -1 3 1 -1

A: If Ais a m×n matrix and B is a n×p, then AB is m×p Hence here X is 2×3 Let X = abcdef Thus…

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: finding the matrix of S 0 T (a) by direct substitution and (b) by matrix multiplication of [S] [T].

A: Finding the matrix of  S∘T (a) by direct substitution  (S∘T) x1x2 = STx1x2                        =…

Q: 1 2 2 . For what value of a will the matrix A=| 2 а 1 2 а be singular? Explain.

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Q: find an elementary matrix E that satisfies the given equation E C =A

A: EC = A ECC-1 = AC-1 Hence, E = AC-1

Q: -x-1 -x 2 Let A = 1 2 (i) Determine an expression for det(A). (ii) For what values of x will the…

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Q: A and B are n x n invertible matrices, then the equality (A +B) (A – B) = A? – B? always true.

A: No this false ,

Q: If A,B,C are nxn invertible matrices and I is nxn unit matrix C-(A + X)B¬1 = I What is the solution…

A: Given that C-1(A+X)B-1=I   To Find: X=?…

Q: A is a 3 x 3 matrix, det(A) = -2. What is the value of det(3A)? %3D -6 O 54 O -54 O 6 O 27

A: Given :-  A is a 3×3 matrix , det A =-2. To Determine :-  The value of det 3A.

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

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Q: The matrix A =1 −1 1 −1 has the property that A2 = O. Is it possible for a nonzero symmetric 2 × 2…

A: Given, The matrix                  has the property that A2 = 0.

Q: Find an LU factorization of the matrix A (with L unit lower triangular). -2 0 4 A= 4 3 -3 4 18 30 L…

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Q: The value of x for which the matrix A = (, ) is singular is a. 0 b. 6 c. -6 d. 12

A: The correct option is C .i.e. -6 .

Q: - In the matrix equation MAT = H, M and T are square r the size of matrix A? (a) 3-by-2 (b) 3-by-3…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: T -1.T If A is 3x3 nonsingular matrix such that AA =A A and B=A A then BB = Select one: a. I+B b. (в…

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Q: 1. Solve for X in the given matrix equation (A -X) =B where 1 1 2 and B = -1 ol A 3 2 21

A: A and B are determinant matrices

Q: 1 2 0 9 6. 18 1 -1 -5 -13 0 1 -3 4 1. 2.

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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: 4 Given matrix A = 1, find x such that the matrix is singular. a. 0 с. 3 b. 2 d. 6

A: A matrix is said to be singular, if it's determinant is zero.

Q: - E- is multiplied by is equal to zero, then matrix If matrix A 3 B1 C.o D-2

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Q: (a) Approximate the value of - Vx+ A Q4 dx, using two and three points Gauss Quadrature where A is…

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Q: c. Consider the multiplication AB is existing with the size (M × N) , where B is a matrix of size (L…

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Q: -42 -36 Let A= and let B = 33 15 Solve the matrix equation for X : 3X = 3A – B. %3D

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Q: Solve the matrix equation for the unknown matrix X. (If not possible, enter IMPOSSIBLE in any cell…

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Q: Q3: Express A and A-1 as a product of elementary matrices. [1 0 5] A = 0 1 6 li o 3]

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Q: The Harmitoniat is represented b The matrix H- (a

A: In this question, we have to find the eigenvalues and eigenvectors for the given matrix H=αϖ0ϖα000α…

Q: [1 2 1] A = 2 0 2 l2 3 kl give matrix. [A| = 1 , k=?

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Q: -1 When diagonalizing the matrix A we get A = PDP-1 1 -2 Then P =? and D =? 1 2 -1 P and D 0 2 -2 1…

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Q: [1 0 1] Q2. Is the matrix A = 0 1 1 defective or diagonalizable? If diagonalizable, write the…

A: We have to solve given problem:

Q: Solve the matrix equation for the unknown matrix X. (If not possible, enter IMPOSSIBLE in any cell…

A: The solution is given as follows

Q: 4 Given matrix A = : 1, find x such that -2 the matrix is singular. а. О с. 3 b. 2 d. 6

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Q: Find an LU factorization of the matrix A (with L unit lower triangular). -5 0 4 A = 15 2 - 9 15 8 8…

A: Given that  The matrix A  To find the LU by using LU factorization

Q: 3 b Find the value of b that make the matrix A singular. 3 5 b =

A: Note : According To our guidelines we can solve only first question and rest can be reposted.Thank…

Q: Q.3: Express the matrix as a product of elementary matrices 2 0] [1 1 3 A = |0

A: Explanation of the solution is given below...

Q: Solve the matrix equation for the unknown matrix X. (If not possible, enter IMPOSSIBLE in any cell…

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Q: - Which of the following operations can we perform for a matrix A of any dimension? (i) A + A (ii)…

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Q: (b) The rank of the matrix A is 2. 2 4 2 A =1 k 3 \1 2 2 Determine the value of the constant k. (i)…

A: Matrix rank and inverse of the Matrix, if Matrix is singular then Matrix doesn't have invese

Q: Find a matrix C such that A = CB for the matrices 1 4 5] A = |-2 0 1 3 1 0 -4 0 2] B= | 1 4 5 5 5…

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Q: Here matrix A 4 2- i 9 A= |2 +i 0 3+i 3- i 7 Can you solve for A· A" (Transpose matrix)?

A: Explanation of the answer is as follows

Q: Solve the matrix equation for the unknown matrix X. (If not possible, enter IMPOSSIBLE in any cell…

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Q: 1 0 1 3 0 2 6. Let A = and B = %3D 5 1 (a) Calculate the matrix Aª.

A: given matrix  A=1051 (a') to find A4 multiply the matrices using matrix multiplication. A4=A2·A2…

Q: -11 is singular -3] a Q1/A) Find the value of a, where A = 3 -1 -2 a matrix.

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 0 11 0 2 1 5] 3. 2- Find A. A-1 if the matrix A is given by: A = -1

A: As per our guideline we are supposed to answer only first asked question.kindly repost other…

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: MATRIX A Is axa T ElbENUALUES ARG -3 AルD a FWD CHE EI6EN. VALUES Fere A+3I IS

A: As we know that; If the λ1 & λ2 is eigenvalues of the matrix A then eigenvalues of the matrix;…

Q: 8 -18 Let A = and let B = 4 %3D 6 16 Solve the matrix equation for X: 2X = 2A-B.

A: Given:

Q: 3 0 1] 0 2 1 5 2- Find A. A-1 if the matrix A is given by: A =| 0

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Q: Solve for the matrix X if AX(D+ BX) = C. Assume that all matrices are n x n and invertible as…

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