Question

27.10 Use minors to expand the determinant of $$ \begin{bmatrix} 2 - \lambda & 8 & 10 \\ 8 & 4 - \lambda & 5 \\ 10 & 5 & 7 - \lambda \end{bmatrix} $$

Name: 2710 use minors to expand the determinant of beginbmatrix 2 lambda 8 10 8 4 lambda 5 10 5 7 lambda endbmatrix 41368
Uploaded: 2020-05-16T17:11:19-08:00
Duration: 50 s
Channel: Harry Evans
Description: 2710 use minors to expand the determinant of beginbmatrix 2 lambda 8 10 8 4 lambda 5 10 5 7 lambda endbmatrix 41368

          27.10 Use minors to expand the determinant of
$$
\begin{bmatrix}
2 - \lambda & 8 & 10 \\
8 & 4 - \lambda & 5 \\
10 & 5 & 7 - \lambda
\end{bmatrix}
$$

Added by Leon J.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Harry Evans

05/16/2020

Step 1

Let's expand along the first row. The determinant is given by: $$ \det(A) = (2-\lambda) \begin{vmatrix} 4-\lambda & 5 \\ 5 & 7-\lambda \end{vmatrix} - 8 \begin{vmatrix} 8 & 5 \\ 10 & 7-\lambda \end{vmatrix} + 10 \begin{vmatrix} 8 & 4-\lambda \\ 10 & 5 Show more…

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