Let XandYbe two arbitrary, 3×3, non-zero, skew-symmetric matrices and Zbe an arbitrary 3×3, non-zero, symmetric matrix. Then which of the following matrices is (are) skew symmetric?a.Y3Z4Z4Y3b. x44+Y44c. X4Z3−Z3X4d. X23+Y23
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A is a square matrix of order n.l= maximum number of distinct entries if A is a triangular matrixm= maximum number of distinct entries if A is a diagonal matrixp= minimum number of zeroes if A is a triangular matrixIf l+5=p+2m, find the order of the matrix.
If A= and B=[0−110], then find the matrix from of the following (aA+bB) (aA−bB).
Construct a 3×2 matrix whose elements are given by aij=(2i−j)
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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
Identify a matrix
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The possibility for the formation of rectangular matrices in the matrix algebra are