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Find K if the following matrices are singular. K[73-2K] - Mathematics and Statistics

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Question

Find K if the following matrices are singular.

`[(7, 3),(-2, "K")]`

Sum
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Solution

Let A = `[(7, 3),(-2, "K")]`

Since A is a singular matrix,
|A| = 0

∴ `|(7, 3),(-2, "K")|` = 0

∴ 7K + 6 = 0
∴ 7K = – 6
∴ K = `(-6)/(7)`.

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