A matrix denotes a number.
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Prove that:[ x y z ] ⎣⎡a hghbf gfc⎦⎤⎣⎡xyz⎦⎤=[ax2 +by2 +cz2+cfz+2gzx+2hxy]
If the number of elements in a matrix is 60, then how many different order of matrix are possible?
A square matrix [aij] such that aij=0 for i=j and aij=k where k is a constant for i=j is called
(i) If a matrix has 4 elements, what are the possible order it can have?(ii) If a matrix has 4 elements, what are the possible orders it can have?
If A = ⎣⎡2 1 −1 3 2 1432⎦⎤, B = ⎣⎡1 −1 0 3 2 0012⎦⎤ Show that AB = BA.
If A is order m×n, B is of order 3×p & C is pf order 2×4 if AB+C is defined, find m,n & p
Determine whether the product of the matrices is defined in each case. If so, state the order of the product. MN, where M=[mij]3×1,N=[nij]1×5
The matrix A=⎣⎡1 0 0 020004 ⎦⎤ is a/an