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Solve the following : Find k, if [735k] is a singular matrix. - Mathematics and Statistics

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Question

Solve the following :

Find k, if `[(7, 3),(5, "k")]` is a singular matrix.

Sum

Solution

Let A = `[(7, 3),(5, "k")]` 
Since A is singular matrix,
|A| = 0

∴ `|(7, 3),(5, "k")|` = 0

∴ 7k – 15 = 0
∴ 7k = 15
∴ k = `(15)/(7)`.

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Chapter 2: Matrices - Miscellaneous Exercise 2 [Page 84]

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