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Question
Determine the values of a and b so that the following matrices are singular:
A = `[(7, 3),(-2, "a")]`
Sum
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Solution
A = `[(7, 3),(-2, "a")]`
|A| = `[(7, 3),(-2, "a")]`
|A| = 7a + 6
Given that A is singular
∴ |A| = 0
7a + 6 = 0
⇒ a = `(-6)/7`
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Chapter 7: Matrices and Determinants - Exercise 7.4 [Page 40]
