English

If A = [-i00i], then ATA is equal to -

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Question

If A = `[(-i, 0),(0, i)]`, then ATA is equal to

Options

  • `l`

  • `- iA`

  • `- l`

  • `iA`

MCQ

Solution

`- l`

Explanation:

A = `[(-i, 0),(0, i)]`, AT = `[(-i, 0),(0, i)]`

ATA = `[(-i, 0),(0, i)][(-i, 0),(0, i)] = [(i^2, 0),(0, i^2)] = [(-1, 0),(0, -1)] = - l`

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