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If a and B Are Square Matrices of the Same Order 3, Such that ∣A∣ = 2 and Ab = 2i, Write the Value of ∣B∣. - Mathematics

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प्रश्न

If A and B are square matrices of the same order 3, such that ∣A∣ = 2 and AB = 2I, write the value of ∣B∣.

योग
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उत्तर

We have, AB = 2I

`|"AB"| = |2"I"|`

⇒ `|"A"| |"B"| = 8`

⇒ `2 |"B"| = 8        ...("Given" |"A"| = 2)`

⇒ `|"B"| = 4`

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2018-2019 (March) 65/1/1

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