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

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प्रश्न

Solve the following :

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

योग

उत्तर

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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अध्याय 2: Matrices - Miscellaneous Exercise 2 [पृष्ठ ८४]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board
अध्याय 2 Matrices
Miscellaneous Exercise 2 | Q 4.01 | पृष्ठ ८४

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