assume that A and Bare n X n matrices with det A = 3 and det B = - 2. Find the indicated determinants det(B-1A)

Q: 10. If a 7 x 7 matrix A has det(A) = 1/4, compute the following determinants: (a) det(5A) (b)…

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Q: Let A and B be 3x3 matrices, with det A = - 7 and det B = 7. Use properties of determinants to…

A: To Determine: compute detAB=-49 Given: Let A and B be 3×3 matrices with det A=-7  and det B=7…

Q: (a) det(A-1) (b) det(5A)

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Q: For the given matrix: 2 -1 2 -1 0 -1 0 -1 2 -1 a) Compute the determinant. b) Calculate the rank.

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Q: In each part, find the determinant given that A is a 4 x 4 matrix for which det(A) = -2 1) det(-A) =…

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Q: Find the determinant of the matrix, if it exists.

A: We have to find the determinant of the matrix: 0-120 We know the determinant for 2×2 matrix,…

Q: Let A and B be 6 x 6 matrices, with det A = -10 and det B = 5. Use properties of determinants to…

A: Given that det A=-10 and det B=5 find a) det(3A) b)det(ATB-1)

Q: -5 1 0 1 -6 0 5 2 0 A = 1 0 3 -1 0 1 0 -5 1 -6 6 -2 0 2 5

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Q: Compute the determinant of the following matrix 1 а а? 1 b 2 1 c a A =

A: Solution :-

Q: Find the determinant of the matrix. Expand by cofactors using the indicated fow or column. -3 2 1 6…

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Q: Evaluate the determinant of matrix det(A), where 1 1 1 ... X2 T3 In ... A = ... n-1 „n-1

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Q: Find the determinant of the matrix. Expand by cofactors using the indicated row or column. 10 8 4 -8…

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Q: Find the determinant of the elementary matrix. (Assume k + 0.) 1 0 0 6k 1 0 0 0 1

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Q: If the determinant of a 5×5 matrix A is det(A)=8, and the matrix C is obtained from A by swapping…

A: The determinant of a 5×5 matrix A is detA = 8 Formula Used: detC = -detA To evaluate: The value of…

Q: assume that A and Bare n X n matrices with det A = 3 and det B = - 2. Find the indicated…

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Q: 10. If a 7 x 7 matrix A has det(A) = 1/4, compute the following determinants: (a) det(5A) (b)…

A: As per our guidelines we need to solve only one question.please repost the remaining  questions as…

Q: Find the determinant of the elementary matrix. 0 0 1 0 10 100

A: We have to find the determinant of the elementary matrix  001010100.

Q: Calculate the determinant of the given matrix and identify the matrix inverse. [2 1 A = |0 L5 7 -21…

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Q: Let A, B and C be n × n invertible matrices such that |A| = 2 , |B| = -3 and |A+ I| = 6. Find…

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Q: Suppose that A and B are n x n matrices, where B is nonsingular. Prove that the determinant of BAB-¹…

A: We use properties of determinant.

Q: 1.1.1 A L3 4]

A: Determinant of 2×2 lower triangular matrix: Let us consider lower triangular matrix of order 2×2…

Q: Find the determinant of the elementary matrix. (Assume k 0.) 0 0 0 5k 0 1 0 1

A: 10005k0001

Q: For the given matrix: 2 -1 -1 2 -1 0 – 1 0 -1 2 -1 a) Compute the determinant. b) Calculate the…

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Q: Find the determinant of the elementary matrix. (Assume k + 0.) 10 0 5k 1 0 0 0 1

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Q: Find the determinant of the matrix. Expand by cofactors using the indicated row or column. 15 6 4 -7…

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Q: Let A and B be 4x4 matrices such that det(A) = 5 and det(B) = 3. Compute the determinant of…

A: Explanation of the answer is as follows

Q: Let A be a 3-by-3 matrix whose determinant is -5. Use properties of determinants to evaluate the…

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Q: find the determinant of the nxn matrixx A with 3's an the diagonal, 1's above the diagonal, and O's…

A: Given: The matrix A is n×n. Also, 3's is on the diagonal of the matrix. 1's above the diagonal of…

Q: Consider the NxN-dimensional matrices A and B, where B=S¹AS (with S an NXN-dimensional non- singular…

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Q: assume that A and Bare n X n matrices with det A = 3 and det B = - 2. Find the indicated…

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Q: Let A and B be 3x3 matrices, with det A = 7 and det B = 4. Use properties of determinants to…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Let A is an orthogonal matrix, that is, AAT = I and B? = I. Compute the determinanm of the matrix…

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Q: assume that A and Bare n X n matrices with det A = 3 and det B = - 2. Find the indicated…

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Q: Find the determinant of the matrix. Expand by cofactors using the indicated row or column. 5 5 |-4 5…

A: Using properties of determinant to find determinant of the matrix.

Q: Find the determinant of the following matrix. 3 1 0     3 −3 1 2 −1 0

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Q: Find the determinant of the elementary matrix. (Assume k ≠ 0.)

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Q: 8. Let A and B two 5 x 5 matrices of determinant 3 and 2. Compute: (a) |AB| (b) |2A| (c) |B-1| (d)…

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Q: If the determinant of a 4×4 matrix A is det(A)=2, and the matrix D is obtained from A by adding 5…

A: Given det A= 2  D can be obtained by adding 5 times the third row to the second in A  See the…

Q: If the determinant of a 4 x 4 matrix A is det(A) = 7, and the matrix B is obtained from A by…

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Q: Consider matrix A E R33, such that det(A) = 3. Find determinant of matrix B = A-1. (2 · I) · A4.

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Q: assume that A and Bare n X n matrices with det A = 3 and det B = - 2. Find the indicated…

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Q: Consider the Matrix  B = 0 1 2 1 2 −5 6 −4 3 Calculate the determinant det(B)

A: Given that, B=01212-56-43

Q: Let A and B be 3x3 matrices, with det A = 8 and det B = - 3. Use properties of determinants to…

A: Given: det A=8 & det B=-3 To determine: a. detAB b. det5A

Q: If the determinant of a 3×3 matrix A is det(A)=2, and the matrix B is obtained from A by multiplying…

A: the determinant of a 3×3 matrix A is det(A)=2, and the matrix B is obtained from A by multiplying…

Q: Find the determinant of the elementary matrix. (Assume k ≠ 0.)

A: Given:  A=001010100 for finding determinants of given matrix we expand it along row first

Q: For the given matrix: 2 -1 0 -1 2 -1 0 -1 0 -1 2 -1 a) Compute the determinant. b) Calculate the…

A: Given that:         Let A = 2-100-12-100-12-100-12

Q: For the matrix 5.5 A= 5.75 10.5 1 The determinant of matrix is=

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