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(a) The matrix A11 is 8 (b) The determinant of the matrix A₁1 is det A11 = (c) The matrix A12 is

(a) The matrix A11 is 8 (b) The determinant of the matrix A₁1 is det A11 = (c) The matrix A12 is

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.1: The Determinants Of A Matrix
Problem 70E: The determinant of a 22 matrix involves two products. The determinant of a 33 matrix involves six...
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@ 2 F2 Find the determinant of the matrix, W using the method of Minor's by expanding along the first row. The formula for det A using the method of Minor's by expanding along the first row for the matrix A above is, for 3 appropriate submatrices A11, A12, and A13 of the matrix A. (a) The matrix A11 is (b) The determinant of the matrix A₁1 is det A11 = A (c) The matrix A12 is 20 F3 A = det A = (- 6 x det A₁1)-(-3 × det A12) + (-9 x det A13) (d) The determinant of the matrix Asis E $ 4 F4 R -6-3 -97 -6 8 -1 -7 -7 -1, % 5 F6 MacBook Air 6 F6 Y & 7 F7 * 00 8 F8 ( F9 JO O
Transcribed Image Text:@ 2 F2 Find the determinant of the matrix, W using the method of Minor's by expanding along the first row. The formula for det A using the method of Minor's by expanding along the first row for the matrix A above is, for 3 appropriate submatrices A11, A12, and A13 of the matrix A. (a) The matrix A11 is (b) The determinant of the matrix A₁1 is det A11 = A (c) The matrix A12 is 20 F3 A = det A = (- 6 x det A₁1)-(-3 × det A12) + (-9 x det A13) (d) The determinant of the matrix Asis E $ 4 F4 R -6-3 -97 -6 8 -1 -7 -7 -1, % 5 F6 MacBook Air 6 F6 Y & 7 F7 * 00 8 F8 ( F9 JO O
(c) The matrix A12 is 81 (d) The determinant of the matrix A12 is det A12 = (e) The matrix A13 is (f) The determinant of the matrix A13 is det A13 = (g) The determinant of the matrix A is det A = Calculator Check Answer 000 pie. K F7 AII FB
Transcribed Image Text:(c) The matrix A12 is 81 (d) The determinant of the matrix A12 is det A12 = (e) The matrix A13 is (f) The determinant of the matrix A13 is det A13 = (g) The determinant of the matrix A is det A = Calculator Check Answer 000 pie. K F7 AII FB
Expert Solution
Step 1

given matrix 

A=-6-3-9-68-1-7-7-1

(a) find matrix A11

A11=8-1-7-1

(b) determinant of matrix A11

A11=8-1-7-1          =8-1--1-7          =-8-7          =-15

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