If `A=[[2,-2,-4],[-1,3,4],[1,-2,-3]]` then A is `1) an idempotent matrix 2) nilpotent matrix ...

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If B is an idempotent matrix, and A=I-B, then (1) A^2=A (2) A^2=I (3) A B=O (4) B A=O If B is an idempotent matrix, and A=I-B, then (1) A^2=A (2) A^2=I (3) A B=O (4) B A=O
Show that the matrix A=[[ 1 0; 2 1 ]] can be decomposed as a sum of a unit and a nilpotent matrix... Show that the matrix A=[[ 1 0; 2 1 ]] can be decomposed as a sum of a unit and a nilpotent matrix...
If A B=A and B A=B, then which of the following is/are true? (1) A is idempotent (2) B is idempot... If A B=A and B A=B, then which of the following is/are true? (1) A is idempotent (2) B is idempot...
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Expres ; the matrix [[ 1 2 5; 2 3 -6; -1 0 4 ]] as a sum of a lower triangular matrix & an... Expres ; the matrix [[ 1 2 5; 2 3 -6; -1 0 4 ]] as a sum of a lower triangular matrix & an...
If B is an idempotent matrix and A=I-B, then (a) A^2=A (b) A^2=I (c) A B=O (d) B A=O If B is an idempotent matrix and A=I-B, then (a) A^2=A (b) A^2=I (c) A B=O (d) B A=O