) Compute the determinant of A = 83100

Q: Q1. Given that 1 2 1 1 () 3 M = 3 2 a 7 -8 12 b -5 4 1 2 -1 -1 a) Compute the determinant of M. b)…

A: Given: Part a: 1233212-1-1 Now we find the determinant of the given matrix.…

Q: Compute the following determinant. 4 4 2 -5

A:

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

A: Given determinant is: We have to find the value of the given determinant by expanding along the…

Q: 3. Use the determinant/adjugate formula to compute the inverse of 2 3 1 02 1 3 ܡ

A:

Q: . Prove that,if row 2 of a 3 by 3 determinant is multiplied by k,k ≠0, and the result is added to…

A: Explanation: Given that, 3×3 matrix  Suppose  A=abcdefghi Find the determinant of A…

Q: Suppose A= XAx-1. Take determinants to prove detA = detA = >.1>.2 ···An. This quick proof only…

A: Given: A=XΛX-1. Take determinants to prove detA=detΛ=λ1·λ2·. . . ·λn. To Fill in the blank: This…

Q: Use the cofactor expansion to compute the following determinant: -10 3 -1 det 1 -3-2 = 0 -65 4

A:

Q: Sp

A: The objective of this question is to calculate the determinant of a 3x3 Vandermonde matrix and find…

Q: Find |A-11. Begin by finding A-1, and then evaluate its determinant. Verify your result by finding…

A: The answers are as…

Q: Find a formula in terms of k for the following determinant.: 3. -6-7 det k -6 -0 -10-8 k

A:

Q: 7. Consider 1 2 2 3 B = Find all values of b such that B is has no inverse.

A:

Q: Compute the following determinant by cofactor expansions. At each step, choose the row or column…

A: We have to find the determinant of matrix using cofactor method

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

A: Co factors of first row: Therefore determinant value is,

Q: a;jA = Aô;*, Show that where A is a determinant of order three and A" are cofactors of a.

A:

Q: Compute the following determinants

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

A: Consider a determinant: D=1-10-10101-1……1

Q: Use the determinant to find 4heValues (k for.. Ax X Such that 3 2 1 A= 7 c) S -3

A: To find the eigenvalues of the given matrices using determinant conidition (equation)

Q: Evaluate the determinant of the given matrix function. A(t) = | 2e* 5e 2t -5r

A:

Q: a. Use cofactor expansion to compute the determinant of A. b. Use elementary row operations to…

A:

Q: 1 5) Let A= 1 -1 TON 0 2 0 -1 3 -6 a) Find A-¹. b) Find det(A), that is, the determinant of A.

A:

Q: 0 - [1 4 Find the determinant of A = = 1 2 03 -3 8 - using a cofactor expansion.

A: We have to find out determinants

Q: Compute the following determinant. 4 -6 |-4 1|

A: Given

Q: Compute the determinant by cofactor expansion. At each step, choose a row or column that involves…

A:

Q: 63. Use the determinant to determine whether A= [; ] 1 2 is invertible. If it is invertible, compute…

A:

Q: Compute the following determinant. -5 -5 1

A: we have to find determinant

Q: e) Show that the determinant of the nxn matrix 320 132 DOO 00 . . 000 0 0 0 15 equals to 2+₁ n+1 132…

A: Given Matrix: 320..000132..000........................000..132000..013 and of order n×n.   To prove:…

Q: Show that the determinant of the matrix B = xl – A, where I is an identity matrix and A = [1 2 01…

A:

Q: 0 -3 5 1 0 1 0 6-58 0 -1 -1 3 4 -2 0

A: The given determinant is