Try Magic Notes and save time.Try it free
Try Magic Notes and save timeCrush your year with the magic of personalized studying.Try it free
Question

# Use properties of determinants to evaluate the given determinant by inspection. Explain your reasoning.$\left| \begin{array} { r r r } { 2 } & { 3 } & { - 4 } \\ { 1 } & { - 3 } & { - 2 } \\ { - 1 } & { 5 } & { 2 } \end{array} \right|$

Solutions

Verified
Step 1
1 of 3

Recall the following results.

1. If $C$ is a matrix obtained from a matrix $B$ by adding a multiple of $i^\text{th}$ column of $B$ to its $j^\text{th}$ column, then $\det(C)=\det(B)$.

2. If a column of a matrix is a zero column, then the determinant of the matrix is zero.

## Recommended textbook solutions

#### Linear Algebra with Applications

5th EditionISBN: 9780321796974 (4 more)Otto Bretscher
2,516 solutions

#### Linear Algebra and Its Applications

5th EditionISBN: 9780321982384David C. Lay, Judi J. McDonald, Steven R. Lay
2,070 solutions

#### Elementary Linear Algebra

11th EditionISBN: 9781118473504Howard Anton
2,932 solutions

#### Linear Algebra: A Modern Introduction

4th EditionISBN: 9781285463247 (1 more)David Poole
2,035 solutions