If A=[1 2 3], then the set of elements of A is
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For the matrix A=, verify that(i) (A+A′ ) is a symmetric matrix(ii) (A−A′ ) is a skew symmetric matrix.
Find the inverse of the matrix (if it exists)A=[24−23]
If A and B are symmetric matrices, prove that AB−BA is a skew symmetric matrix.
If A=⎣⎡32 31 37 132 235 34 32 ⎦⎤ and B=⎣⎡52 51 57 53 52 56 154 52 ⎦⎤ , then compute 3A−5B.
A=⎣⎡a111bb0dc⎦⎤,B=⎣⎡a0f1dg1ch⎦⎤,U=⎣⎡fgh⎦⎤,V=⎣⎡a200⎦⎤ If there is a vector matrix X, such that AX=U has infinitely many solutions, then prove that BX=V cannot have a unique solution. If afd=0. Then,prove that BX=V has no solution.
Find the value of determinant ∣∣2−54−1∣∣.
Statement 1: The inverse of singular matrix A=([aij])n×n,whereaij=0,i≥jisB=([aij−1])n×n˙
Statement 2: The inverse of singular square matrix does not exist.
Write the order each of the following matrices :A=[30534−1−294 ]