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NCERT EXEMPLAR-MATRICES-Matrices
- A matrix denotes a number
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- Matrices of any order can be added.
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- Two matrices are equal. If they have same number of rows and same numb...
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- Matrices of different order cannot be subtracted.
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- Matrix addition is associative as well as commutative.
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- Matrix m ultiplication is commutative.
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- A square m atrix where every element is unity is called an identity ma...
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- If A and B are two square matrices of the same order, then A+B=B+A.
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- If A and B are two m atrices of the same order, then A-B=B-A.
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- 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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- Transpose of a column matrix is a column matrix.
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- If A and B are square matrices of the same order such that A B=B A , t...
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- If each of the three matrices of the same order are symmetric, then th...
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- If A and B are any two matrices of the same order, then (AB)=A'B'
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- If (AB)'=B'A', where A and B are not square matrices, then number of r...
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- Let A; B; C be square matrices of the same order n. If A is a non sing...
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- A A' is always a symmetric matrix for any matrix A.
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- If A=[{:(2,3,-1),(1,4,2):}] and B=[{:(2,3),(4,5),(2,1):}] then AB and ...
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- If A is skew-symmetric matrix then A^(2) is a symmetric matrix.
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- If A; B are invertible matrices of the same order; then show that (AB)...
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