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41 votes
41 votes
Which value of x would make the following matrix singular?[5 x] 3 6a. -27b. -10c. 10d. 27

User Valentin Yuryev
by
3.0k points

1 Answer

7 votes
7 votes

A square matrix like the one shown can be described as a singular matrix if its determinant is equal to zero.

The determinant can be calculated as the difference between the product of 5 and 6, and the product of 3 and x.

Determinant = (5 * 6) - (3 * x)

Determinant = 30 - 3x

Remember that one condition is for the determinant to be equal to zero, hence

30 - 3x = 0

30 = 3x

Divide both sides by 3

10 = x

The correct answer is option C

User Arxpoetica
by
2.6k points
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