Find the inverse of the matrix A using row operation if A is a non-singular matrix, where, 1 -1] A =| 0 -1 1 -2 Hence compute (3A)-1.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter3: Determinants
Section3.3: Properties Of Determinants
Problem 63E: Let A be an nn matrix in which the entries of each row sum to zero. Find |A|.
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b) Find the inverse of the matrix A using row operation if A is a non-singular matrix,
where,
1
-1
A =
-1
2
-2.
Hence compute (3A)¯1.
Transcribed Image Text:b) Find the inverse of the matrix A using row operation if A is a non-singular matrix, where, 1 -1 A = -1 2 -2. Hence compute (3A)¯1.
1. (a) Determine which one of the following equations are linear equation. If nonlinear
identify the nonlinear terms.
(i)
2x - Vy? + z - t =, y20
(ii) x+ 2y + zx + w = 4
(b) Solve the system of linear equations using Gauss-Jordan elimination technique
3x – 2y + z + 2t = 2
-x + 2y + 4z –t = -8
3x + 2y – 5z – 4t = 8
4x – 4y + 2z – 2t = -10
Write the general solution in vector form.
Transcribed Image Text:1. (a) Determine which one of the following equations are linear equation. If nonlinear identify the nonlinear terms. (i) 2x - Vy? + z - t =, y20 (ii) x+ 2y + zx + w = 4 (b) Solve the system of linear equations using Gauss-Jordan elimination technique 3x – 2y + z + 2t = 2 -x + 2y + 4z –t = -8 3x + 2y – 5z – 4t = 8 4x – 4y + 2z – 2t = -10 Write the general solution in vector form.
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