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If A2 + 5A + 3I = 0, |A| ≠ 0, then A–1 = ______ - Mathematics and Statistics

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Question

If A2 + 5A + 3I = 0, |A| ≠ 0, then A–1 = ______

Options

  • `(-1)/3 ("A" + 5"I")`

  • `(-1)/5 ("A" + 3"I")`

  • (A + 15I)

  • `(-1)/3 ("I" + 5"A")`

MCQ
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Solution

If A2 + 5A + 3I = 0, |A| ≠ 0, then A–1 = `bbunderline((-1)/3 ("A" + 5"I"))` 

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Application of Matrices
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Chapter 1.2: Matrices - Q.1
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