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Which of the following matrices are singular or non singular? [75-47] - Mathematics and Statistics

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Question

Which of the following matrices are singular or non singular?

`[(7, 5),(-4, 7)]`

Sum

Solution

Let A = `[(7, 5),(-4, 7)]`

∴ |A| = `|(7, 5),(-4, 7)|`

= 49 + 20
= 69 ≠ 0
∴ A is a non-singular martix.

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Determinant of a Matrix
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Chapter 2: Matrices - Exercise 2.1 [Page 40]

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