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If A is a skew-symmetric matrix, then A^...

If A is a skew-symmetric matrix, then `A^(2)` is a .................

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To determine the nature of \( A^2 \) when \( A \) is a skew-symmetric matrix, we can follow these steps: ### Step-by-step Solution: 1. **Definition of Skew-Symmetric Matrix**: A matrix \( A \) is skew-symmetric if it satisfies the condition: \[ A = -A^T ...
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NCERT EXEMPLAR ENGLISH-MATRICES-Solved example
  1. Matrix multiplication is distributive over matrix addition

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  2. If A is a symmetric matrix , then A^(3) is a ........ Matrix.

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  3. If A is a skew-symmetric matrix, then A^(2) is a .................

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  4. If A and B are square matrices of the same order, then (i) (AB)=.......

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  5. If A is a skew-symmetric, then kA is a...........(where, k is any scal...

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  6. If A and B are symmetric matrices, then (i) AB-BA is a .......... ...

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  7. If A is symmetric matrix, then B'AB is............

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

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

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  10. A matrix denotes a number

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  11. Matrices of any order can be added.

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

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  13. Matrices of different order cannot be subtracted.

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  14. Matrix addition is associative as well as commutative.

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  15. Matrix m ultiplication is commutative.

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

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

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

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  19. 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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  20. Transpose of a column matrix is a column matrix.

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