A matrix A=(Aij)m×n is said to be a square matrix if
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Find matrix X, if [3−154−9−7]+X=.
Express the following matrices as the sum of a symmetric and a skew symmetric matrix:(i) [315−1]
If x+y[−11]= Find values of x and y.
Write minors and cofactors of the elements of following determinants(i)∣∣20−43∣∣(ii)∣∣abcd∣∣
is a 3×3
skew-symmetric matrix, then trace of A
is equal to
d. none of these
If A=⎣⎡572 −2053 6841−33⎦⎤ then writethe order of the matrix A,
If both A−21IandA+21 are orthogonal matices, then (a)A is orthogonal (b)A is skew-symmetric matrix of even order (c)A2=43I
(d)none of these
Find the inverse of the matrices , if it exists.[6−2−31]