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In applying one or more row operations w...

In applying one or more row operations while finding `A^(-1)` by elementary row operation we obtain all zeroes in one or more, then `A^(-1)`.

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In applying one or more row operation while finding `A^(-1)` by elementary row operations, we obtain all zeroes in one or more, then `A^(-1)~ does not exist.
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NCERT EXEMPLAR-MATRICES-Matrices
  1. If A is symmetric matrix, then B'AB is............

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  2. If A and B are symmetric matrices of same order, then AB is symmetric ...

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  3. In applying one or more row operations while finding A^(-1) by elemen...

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  4. A matrix denotes a number

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  5. Matrices of any order can be added.

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  6. Two matrices are equal. If they have same number of rows and same numb...

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  7. Matrices of different order cannot be subtracted.

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  8. Matrix addition is associative as well as commutative.

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  9. Matrix m ultiplication is commutative.

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  10. A square m atrix where every element is unity is called an identity ma...

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  11. If A and B are two square matrices of the same order, then A+B=B+A.

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  12. If A and B are two m atrices of the same order, then A-B=B-A.

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  13. If A dn B be 3xx3 matrices the AB=0 implies (A) A=0 or B=0 (B) A=0 and...

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  14. Transpose of a column matrix is a column matrix.

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  15. If A and B are square matrices of the same order such that A B=B A , t...

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  16. If each of the three matrices of the same order are symmetric, then th...

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  17. If A and B are any two matrices of the same order, then (AB)=A'B'

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  18. If (AB)'=B'A', where A and B are not square matrices, then number of r...

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  19. Let A; B; C be square matrices of the same order n. If A is a non sing...

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  20. A A' is always a symmetric matrix for any matrix A.

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