Mathematics · Matrices and Determinants

The matrix M = ⌈ 3 -1 2 ⌉ ⌊ -1 2 0 ⌋ ⌊ 2 0 1 ⌋ satisfies the equation M3 + αM2 + βM + 3I = 0 if (α, β) are:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1(-4, 4)
2(-6, 6)✓
3(-3, 3)
4(-2, 2)

Correct answer

(-6, 6)

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The matrix M = ⌈ 3 -1 2 ⌉ ⌊ -1 2 0 ⌋ ⌊ 2 0 1 ⌋ satisfies the equation M3 + αM2 + βM + 3I = 0 if (α, β) are:

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The matrix M = ⌈ 3 -1 2 ⌉ ⌊ -1 2 0 ⌋ ⌊ 2 0 1 ⌋ satisfies the equation M3 + αM2 + βM + 3I = 0 if (α, β) are:

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