मराठी

For a invertible matrix A if A(adjA) = [100010], then |A| = ______. -

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प्रश्न

For a invertible matrix A if A(adjA) = `[(10, 0),(0, 10)]`, then |A| = ______.

पर्याय

  • 100

  • –100

  • 10

  • –10

MCQ
रिकाम्या जागा भरा

उत्तर

For a invertible matrix A if A(adjA) = `[(10, 0),(0, 10)]`, then |A| = 10.

Explanation:

We have,

A(adjA) = `[(10, 0),(0, 10)] = 10[(1, 0),(0, 1)]` = 10I

As, A(adjA) = |A| I

After comparing on both sides, we get

|A| = 10

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