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Identify the following matrix is singular or non-singular? [abcpqr2a-p2b-q2c-r] - Mathematics and Statistics

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प्रश्न

Identify the following matrix is singular or non-singular?

[abcpqr2a-p2b-q2c-r]

बेरीज

उत्तर

Let A = [abcpqr2a-p2b-q2c-r]

∴ | A | = |abcpqr2a-p2b-q2c-r|

= |abcpqr2a2b2c|+|abcpqr-p-q-r|

By taking 2 and – 1 common from R3 in the first and second determinants respectively, we get,

| A | = 2|abcpqrabc|-|abcpqrpqr|

= 2 x 0 – 0

= 0

∴ A is a singular matrix.

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 4: Determinants and Matrices - Exercise 4.4 [पृष्ठ ८३]

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बालभारती Mathematics and Statistics 1 (Arts and Science) [English] 11 Standard Maharashtra State Board
पाठ 4 Determinants and Matrices
Exercise 4.4 | Q 3. (i) | पृष्ठ ८३

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