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A matrix denotes a number...

A matrix denotes a number

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A matrix is an ordered rectangular array of numbers or functions.
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NCERT EXEMPLAR-MATRICES-Matrices
  1. If A and B are symmetric matrices of same order, then AB is symmetric ...

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

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  3. A matrix denotes a number

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  4. Matrices of any order can be added.

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

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  6. Matrices of different order cannot be subtracted.

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  7. Matrix addition is associative as well as commutative.

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  8. Matrix m ultiplication is commutative.

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

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

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

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  12. 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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  13. Transpose of a column matrix is a column matrix.

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

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

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

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

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

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

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  20. If A=[{:(2,3,-1),(1,4,2):}] and B=[{:(2,3),(4,5),(2,1):}] then AB and ...

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