Determine those values of λ for which the matrix   1 λ 0 3 2 0 1 2 1   is not invertible

Question

Determine those values of λ for which the matrix   1 λ 0 3 2 0 1 2 1   is not invertible
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Solution 1

A matrix is not invertible (or singular) if and only if its determinant is zero. So, we need to find the values of λ that make the determinant of the matrix zero.

The matrix is:

1 λ 0 3 2 0 1 2 1

The determinant of a 3x3 matrix

a b c d e f g h i

is given by the formula:

a(ei−fh)−b(di−fg)+c(d Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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