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Prove that A is invertible if a 6= 0 and a 6= b (find the pivots and A 1 ): A = a b b a
Chapter 1, Problem 1.6.42(choose chapter or problem)
QUESTION:
Prove that A is invertible if a 6= 0 and a 6= b (find the pivots and A 1 ): A = a b b a a b a a a
Questions & Answers
QUESTION:
Prove that A is invertible if a 6= 0 and a 6= b (find the pivots and A 1 ): A = a b b a a b a a a
ANSWER:Step 1 of 2
Given matrix is
To prove that A is invertible if .
Let us find the determinant of A.
If , then . It implies that A is nonsingular for and therefore, it is not invertible.
Hence, the given matrix A is invertible if .