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Chapter 4: Q1. (page 185)

Write a matrix whose determinant is zero.

Short Answer

Expert verified

A matrix whose determinant is zero 鈭�3鈭�624.

Step by step solution

01

- Define the determinant of second-order matrix

The determinant of second order matrix is found by calculating the difference of the product of the two diagonals, that is., abcd=ad鈭�bc.

02

- Find the Matrix

Let a matrix whose determinant is zero be 鈭�3鈭�624. Then,

鈭�3鈭�624=鈭�3脳4鈭�鈭�62

03

- Simplify

To further verify simplify by multiplying the values first.

鈭�3鈭�624=鈭�3脳4鈭�鈭�62=鈭�12+12=0

Hence, verified. A matrix whose determinant is zero is 鈭�3鈭�624.

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Most popular questions from this chapter

For Exercises 11-13, use the table below that shows high school participation in various sports.

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7.

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