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If A is a square matrix, then A A is a (...

If `A` is a square matrix, then `A A` is a (a) skew-symmetric matrix (b) symmetric matrix (c) diagonal matrix (d) none of these

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Given:` A` is a square matrix
Let `A=[(1,2),(1,0)]`
Then
`A``A=[(1,2),(1,0)][(1,2),(1,0)]`
`A``A=[(3,2),(1,2)]`
Hence correct option is (d)
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RD SHARMA-ALGEBRA OF MATRICES-Solved Examples And Exercises
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  2. The matrix [(0, 5,-7),(-5, 0, 11),( 7,-11, 0)] is (a) a skew-symmetr...

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  3. If A is a square matrix, then A A is a (a) skew-symmetric matrix (b)...

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  13. If A=[(0, 2),( 3,-4)] and k A=[(0, 3a),(2b, 24)] , then the values o...

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  14. If I=[(1 ,0),( 0, 1)] , J=[(0, 1),(-1 ,0)] and B=[(costheta,sintheta...

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  15. The trace of the matrix A=[(1,-5, 7),( 0, 7, 9),( 11 ,8, 9)] is (...

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  16. If A=[a(i j)] is a scalar matrix of order nxxn such that a(i i)=k f...

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