List of top Mathematics Questions on Matrices asked in SRMJEEE

if A=\(\begin{vmatrix} i&-i \\  -i&\,\,\,\,1  \end{vmatrix}\) and B=\(\begin{vmatrix} 1&-1 \\  -1& \,\,\,\,1  \end{vmatrix}\) then A⁸ equals_______

If A is a non-singular matrix such that AA^T = A^TA and B = A^-1A^T , then matrix B is

If I is the unit matrix of order n, where K≠0 is a constant, then adj(KI) =

If \(\Delta_1=\begin{vmatrix} x&b&b \\a&x&b\\a&a&x\end{vmatrix}\) and \(\Delta_2=\begin{vmatrix} x&b \\a&x\end{vmatrix}\), then \(\frac{d}{dx}(\Delta_1)\) is equal to

If \(\Delta=\begin{vmatrix} 1&2&3\\2&5&7\\3&9&13 \end{vmatrix}\) and \(\Delta'=\begin{vmatrix} 7&20&29\\2&5&7\\3&9&13 \end{vmatrix}\) then

If a, b,c are sides of a triangle and \(\begin{vmatrix} a^2&b^2&c^2\\(a+1)^2&(b+1)^2&(c+1)^2 \\ (a-1)^2&(b-1)^2&(c-1)^2\end{vmatrix}=0\) then \(\triangle ABC\) is

If \(A\) and \(B\) are two skew symmetric matrices of the same order then \(AB\) is skew symmetric if and only if