Question 1 Find the characteristic equation of the given matrix. A = 25 3 1 0 4-5 8 0087 000 2 HINT: How do you find the determinant of an upper triangular matrix? (2-A)(5-A)(3-A)(1-A) = 0 (2-A)(4 - A)(8 - x) = 0 (2-1)²(4 - A)(8 - A) = 0 (2 - A)(7 - A)(8 - A)(1-A) = 0

Q: Use Gauss' method to find the determinant of the matrix B = 0 0 1 0 0 -4 0 -4 8 4 2522 -3 - 2 ONA A…

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Q: 5 by writing systems of equations. Find the inverse of the matrix A -10 Also, find the determinant…

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Q: 1 -3 -2 -2 -1 2 (a) -3 -2 -4 6 10 -7 1 -4 6 2 9 5 -8 4 -5 (b) -4 2 -5 -8 8 3 -5 4 6. -5 7 8 3 14 -1…

A: (As per bartleby guideline, For more than one question asked only one will be solved. Please upload…

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Q: True or False If determinant of matrix A is equal to 1, then the adjoint of A pre-multiplied to A…

A: Identity matrix: A square matrix whose diagonal elements are all one and all the non-diagonal…

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Q: Given the matrix 3-40000 10 5-300 000 0050000 000-10000 00002-30 000005 4 00004 2 3 Find the…

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Q: yes, hi. I've seen another source, use set variables to 0 and then solve individually, answers are…

A: setting z=0 and solving for x and y. similarly setting y=0 and solving for x and z.

Q: the determinant and inverse of the following matrix. You must clearly explain all steps of how you…

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Q: a) Let a, b, c and d be the first four digits in your code number. What is the determinant of the…

A: We find the determinant.

Q: -5 41 0 -3 4 -3 (a) The determinant of the matrix is: (b) Does the matrix have an inverse? ?

A: As per Bartleby guidelines we're supported to answer only one question when two or more different…

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A: Matrix A is invertible if and only if  following conditions hold: 1. A must be n×n square matrix…

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A: The given matrix,        21-13+2-1211

Q: (a) The determinant of the matrix is: (b) Does the matrix have an inverse? ?

A: Here we use a theorem related to determinant and inverse of that matrix. Which is as follows a…

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Q: The determinant of the matrix 4 A = 0, 4 8 0 -9 is Hint: Find a good row or column and expand by…

A: Given:          A=0-4-900-9-2-30006000475-9-6-5980-9 Solve:        det…

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A: Given : det6v1+7v4v2v34v1+4v4

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Q: linear algebra

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Q: 3x3 Matrix Determinant 8 4 3 -5 -2 7 9. 9 -8

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Q: 3 1 Let A Solve the matrix equation -3 -1 XA - X = 2AT + I for X.

A: To solve the matrix equation XA-X=2A^T+I

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Q: 1 2 What is the determinant of the matrix 0-4 0 0 O O -8 8 07 6? 2

A: Please refer to the solution in next step.

Q: 4. (2 b) Solve the matrix equation using inverse matrix and Cram er' s rule m ethods: (-2 1 X- 5 -1…

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