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Find k if the following matrix is singular: [73-2k]

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प्रश्न

Find k if the following matrix is singular:

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

योग
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उत्तर

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

Since A is a singular matrix,
IAI = 0

∴ `|(7, 3),(-2, "k")|` = 0

∴ 7k – (– 6) = 0

∴ 7k + 6 = 0

∴ 7k = – 6

∴ k = `(-6)/7`.

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अध्याय 4: Determinants and Matrices - Exercise 4.4 [पृष्ठ ८३]

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बालभारती Mathematics and Statistics 1 (Arts and Science) [English] Standard 11 Maharashtra State Board
अध्याय 4 Determinants and Matrices
Exercise 4.4 | Q 4. (i) | पृष्ठ ८३

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