Tip:A–D to answerE for explanationV for videoS to reveal answer
If for a square matrix A, A2 = A, then such a matrix is known as
- A.
idempotent matrix
(Correct Answer) - B.
orthogonal matrix
- C.
null matrix
- D.
None of the above
Correct Answer: idempotent matrix
Explanation
Consider the matrix A:
Verification:
A2=(10amp;0amp;0)(10amp;0amp;0)
A2=((1)(1)+(0)(0)(0)(1)+(0)(0)amp;(1)(0)+(0)(0)amp;(0)(0)+(0)(0))
Since A2=A, this is an Idempotent Matrix.
Explanation
Consider the matrix A:
Verification:
A2=(10amp;0amp;0)(10amp;0amp;0)
A2=((1)(1)+(0)(0)(0)(1)+(0)(0)amp;(1)(0)+(0)(0)amp;(0)(0)+(0)(0))
Since A2=A, this is an Idempotent Matrix.
