Let A and B be 6× 6 matrices with det(A) = -10 and det(B) = 5. Use properties of determinants to compute: i. det(7A), ii. det(A'B-'A-1).

Q: Use expansion by cofactors to find the determinant of the matrix.

A: Given matrix:

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: 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: Find the adjoint of the matrices and Use the determinant test for nonsingularity to determine…

A: This question can be solved using the formula A-1=adj(A)A

Q: By using expanding along a row or column, find the determinant of the matrix 1 2 3 2 1 0 2 1 -6 9 12…

A: Introduction: Every square matrix has a determinant. A determinant of a matrix is a scalar number.…

Q: Compute the determinant of the matrix using the best possible method. Zmatrix ((2 -2 6 4)(2 3 7 1)(6…

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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 the given matrix by cofactor expansion along the indicated row.

A: Given the matrix 01+i2-2i01-i34i0We need to find the determinant of the matrix by cofactor expansion…

Q: Compute the determinants using cofactor expansion along the first row and along the first column.

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Q: How can the third order determinant be expressed through the laplace expansion ?

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Q: Use expansion by cofactors to find the determinant of the matrix.

A: Given,         wxyz21-152427-2410-3218-224035-32

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: Compute the determinant of the matrix -1 2) 0 0 3 1 -1 -1 1 and find its inverse if it is…

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Q: Find the determinant of :the matrix 0 2 4 1 3 2 0 4 5 3 1 1 1 A = -1 2

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Q: Compute the determinant of the matrix by cofactor expansion. [5 1 3x 1 -2 2x 5 4x O 17x -55x O 55x O…

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Q: if the given matrix is nonsingular, find its inverse. If the matrix is singular, verify that its…

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Q: a) A and B are 3x3 matrices with |2B| = 2 and [A| = -5. By using properties of %3D determinant or…

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Q: Use expansion by cofactors to find the determinant of the matrix.

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Q: Find the determinant of the matrix, if it exists.  [2 5]

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Q: 0 9 -3 0 -4 -5 0 7 5 -2 0 -10 3 -7 0 0 -10 0 4 -8 0 -7 1

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Q: For which matrix we are unable to find inverse, determinant.

A: We have use the matrix property

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 a 10 x 10 matrix which has a 2 in each main diagonal entry and zeros…

A: Given matrix, 10 x 10 matrix which has a 2 in each main diagonal entry and zeros everywhere else.

Q: 2. If A is a 3 x 3 matrix, prove that the determinant of A is equal to the determinant of AT.

A: 2. Given A is a 3×3 matrix we need to show that determinant of A is equal to AT. Let A=abcdefghi.…

Q: Suppose that a 4 x 4 matrix A with rows v1, v2, v3, and v4 has determinant det A = 2. Find the…

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Q: The box with edges i and j and w = 2i + 3j + 4k has height __ . What is the volume? What is 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: APPLY THE GAUSS ELIMINATION METHOD TO FIND THE DETERMINANT OF THE MATRIX.

A: Consider the given matrix. A=09-30-4-50755-20-103-700-1004-80-710 Now, use the gauss elimination…

Q: Use expansion by cofactors to find the determinant of the matrix.

A:

Q: TRUE/FALSE Assume that all the given matrices are n × n. If A and B are row equivalent matrices,…

A: Given: All the given matrices are n × n. A and B are row equivalent matrices.

Q: Evaluate the determinant of the given matrix by cofactor expansion along the indicated row.

A: Given matrix is:

Q: If A is orthogonal, show that its determinant is equal to ±1.

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Q: Compute the determinant of the matrix -1 2) 1 0 0 -1 -1 1 and find its inverse if it is invertible.

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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: Use expansion by cofactors to find the determinant of the matrix. 2 4 0 0 3 0 1 6 4 5 0 05 2 4 0 0 3…

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Q: Compute the determinants using cofactor expansion along the first row and along the first column.

A: Let A=123231312 First we will find determinant using cofactor expansion along first row.…

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

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Q: Find the determinant of a 10 X10 matrix which has a 2 in each main diagonal entry and zeros…

A: The order of a matrix is 10×10 and it has 2 in each main diagonal entry and zeros everywhere else.

Q: Find the determinant of the matrix after introducing zeros.

A: To find: The determinant of 310-20113-1. Calculation: Apply row operation R3→R3-3R1.…

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 matrix, if it exists.

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

Q: What is the determinant of a 1 x 1 matrix?

A: Find the determinate of matrix.

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

A: Here is the solution:

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: Use expansion by cofactors to find the determinant of the matrix. -0.2 0.4 0.2 0.3 0.3 0.4 0.2 0.2…

A: Determinant by cofactor means we have to expand matrix along any row and column and then calculate…

Q: Compute the determinant of the matrix 2 1 0 0 0 1 1 0 0 1 1

A: Given Matrix λ1000λ1000λ1001λ Its determinant λ1000λ1000λ1001λ