1. Find determinant of the matrix using row or column operations and properties of the determinants (without using cofactor expansion): 2 2 0 0 -2 - 1 1 6 1 0 2 -1 -1 2 01-2 01 0 5 A = 3 1

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: Compute the determinant using a cofactor expansion down the first column. 1 -5 A= 8 3 4 -2

A: It is required to determine the determinant of the given matrix using a cofactor expansion down the…

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

A: Given matrix is: i2+i0-132i0-11-i To evaluate the determinant of the given matrix by cofactor…

Q: Evaluate the determinant of the given matrix by cofactor expansion. 11 det(A) = < A = x y z 469

A: Follow the procedure given below.

Q: Find the determinant of the following matrix. 7 1 0     7 −7 1 6 −1 0

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Q: -1 -3 -1 1 -2 3 2 4 -3 1 -2 4 -3 -4 2 -4 1 3 -1 2 4 3

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Q: 2. Find the determinant of the following matrix by reducing it to an upper triangular matrix by…

A: Given:    A=-1220211-131-122410  upper triangular matrix using elementary row operations:…

Q: Find the determinant of following matrix using Cofactor Expansion 1 2 A = -1 0 1 -3 1 2

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Q: A, B,C are 3 x 3 matrices with det(A) = -5, det(B) = 2, det(C) = 10. %3D choose the option which is…

A: Given data: The given determinant of the first matrix is det(A)=-5. The given determinant of the…

Q: Use the fact that ∣cA∣ = cn∣A∣ to evaluate the determinant of the n × n matrix.

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

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

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Q: Evaluate the determinant of the matrix by a cofactor expansion along the fırst row. --1 1 4 A = 3 0…

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Q: (a) Find the following by expansion along a row or column: 0 3 -1 0 2 -1 1 0 1 -3 2 1 2 4 - 2 (b)…

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Q: Use the fact that ∣cA∣ = cn∣A∣ to evaluate the determinant of the n × n matrix.

A: Given: The fact ∣cA∣ = cn∣A∣

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

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Q: For the matrix 7 A= 4.5 11.1 1 The determinant of matrix is=

A: To find the determinant of the Matrix

Q: 3. Find the determinant of the given matrix |-2 3 -1 7 4 A= |-7 -6 -2 -3 5 7 3 -12 -4 by using…

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Q: Use the fact that ∣cA∣ = cn∣A∣ to evaluate the determinant of the n × n matrix.

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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 by taking the minor and cofactor of the elements in the second…

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Q: Use the fact that |cA| = cA| to evaluate the determinant of the n x n matrix. -3 6. 9. A = 6. 12 9.…

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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: Find the determinant of the matrix by reducing A to a triangular matrix. A = -1 2 3 1 1 2 1

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Q: Compute the determinant of 15 2 4 3 4 1 A = 0 03 4 0 7 4 7 (a) by using a cofactor expansion across…

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Q: Consider the following matrices: 1 0 1 4 3 1 1 2 -- %3D B = 0 1 1. [1 0 C = 0 1 -1 a) Find BC. b)…

A: If determinant of a matrix is non zero then it is invertible. Two matrix will add or subtract only…

Q: Compute the determinant of the matrix 4 -1 2 O -9 2 None of the others

A: This question is related to determinant and matrix, We will solve it using given information.

Q: Evaluate the given determinant using elementary row and/or column operations and reduce the matrix…

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Q: Find the determinant of the n X n matrix A with 3's on the diagonal, 1's above the diagonal, and 0's…

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Q: Find the determinant of the following matrices by using the expansion cofactors. 0.1 0.2 0.3 a. -0.3…

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Q: Use the fact that ∣cA∣ = cn∣A∣ to evaluate the determinant of the n × n matrix.

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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: Compute the determinant of the matrix by cofactor expansion. T-4 3 -3 2] 0 -1 0 3 0 0 0 -3 1 4] 2 -2…

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Q: [1 2 -1] 1. If A = 3 2 4, verify that detA = detA". L1 3

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

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Q: Compute the determinant of the matrix A, below, by using row operations to transform A to an…

A: Follow 2nd and 3rd step.

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 x 4 matrix A is det(A) = 7, and the matrix B is obtained from A by…

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Q: Compute the determinant of the matrix A, below, by using row operations to transform the determinant…

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Q: Find the determinant of the matrix. Expand by cofactors using the indicated row or column. 4 0 -3 0…

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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: Find determinant of the following matrix. |1 1 2 -1| 2 1 2 det(A) = 0 3 1 0 0 2| H O O O

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Q: find the determinant of matrix Q, where matrix Q =   5             4           -6 -7           0…

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Q: Let 1 0 1 -() A = 2 1 0 20 1 (a) Compute the determinant of A, the determinant of 2A and the…

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Q: Use reduction to triangular form to evaluate the determinant of the given matrix. 1 A = 3 16 24 0-1…

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Q: Use the fact that |cA| = c^|A| to evaluate the determinant of the n × n matrix. 12 3 27 A = 15 9 18…

A: To evaluate the determinant of the matrix A, by using the fact cA=cnA.A=123271591824621

Q: 2. Find the determinant of matrix D using the three methods. 6, 4 2 7 -9 4 det. D = 18 -3 3 8 9 3

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

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