An invertible matrix A can be written as a product of elementary matrices as follows: 2 0 0 1 0 1 0 0 1 0 1 A = - ( : ) ( ) ( : ) ( ) ( :96:9 0 1 0 1 0 1 0 1 0 0 0 1 0 Find the determinant of A

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Q: (a) Find a real 2 × 2 matrix A such that A² = -I. (b) Prove that there is no real 3 x 3 matrix A…

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A: For a given matrix A, |A| is the determinant

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Q: Find the characteristic polynomial of the matrix, using either a cofactor expansion or the special…

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Q: Prove of disprove the statement: If A is a n × n matrix and c is a scalar, then det(cA) = c det(A).

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