If $$A=010001$$−c−b−a then $$A3+aA2+bA+cI$$ is

Correct option is 3a 3×3 null matrix

Questions

$If A = [\begin{array}{ccc} 0 & 1 & 0 \\ 0 & 0 & 1 \\ - c & - b & - a \end{array}] then A^{3} + a A^{2} + b A + c I is$

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real number zero

2×2 null matrix

a 3×3 null matrix

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detailed solution

Correct option is C

Since A is 3×3 matrix A3+aA2+bA+cI is also a 3×3 matrix

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If A=010001−c−b−a then A3+aA2+bA+cI is

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$If A = [\begin{array}{ccc} 0 & 1 & 0 \\ 0 & 0 & 1 \\ - c & - b & - a \end{array}] then A^{3} + a A^{2} + b A + c I is$