(b) The rank of the matrix A is 2. 2 4 2) A = (1 k 3 1 2 2/ (i) (ii) Determine the value of the constant k. For this value ofk, is A invertible? Explain.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.1: Operations With Matrices
Problem 72E: Show that no 22 matrices A and B exist that satisfy the matrix equation. AB-BA=1001.
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Assistance with the follow please. Showing working where necessary.
(b) The rank of the matrix A is 2.
(2 4 2Y
A =1 k 3
\1 2 2/
Determine the value of the constant k.
(1)
(ii)
For this value of k, is A invertible? Explain.
Transcribed Image Text:(b) The rank of the matrix A is 2. (2 4 2Y A =1 k 3 \1 2 2/ Determine the value of the constant k. (1) (ii) For this value of k, is A invertible? Explain.
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