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Recent questions tagged equality-of-matrices

If $a,b,c$ are all different and $\begin{vmatrix}a&a^3&a^4-1\\b&b^3&b^4-1\\c&c^3&c^4-1\end{vmatrix}=0$ then the value of $abc(ab+bc+ca)$ is

asked Apr 23, 2014 by sreemathi.v

1 answer

The value of $\theta$ in the first quadrant satisfying the equation $\begin{vmatrix}1+\cos^2\theta&\sin^2\theta&4\sin 4\theta\\\cos^2\theta&1+\sin^2\theta&4\sin4\theta\\\cos^2\theta&\sin^2\theta&1+4\sin 4\theta\end{vmatrix}=0$ is

asked Apr 23, 2014 by sreemathi.v

1 answer

If $a,b,c$ are non zero real numbers,then $\begin{vmatrix}bc&ca&ab\\ca&ab&bc\\ab&bc&ca\end{vmatrix}$ vanishes when

asked Apr 22, 2014 by sreemathi.v

1 answer

If $\begin{vmatrix}x-1&5x&7\\x^2-1&x-1&8\\2x&3x&0\end{vmatrix}$ = $ax^3+bx^2+cx+d$ then $c$ is equal to

asked Nov 25, 2013 by sreemathi.v

1 answer

If $A$ and $B$ are square matrices of the same order such that $(A+B)(A-B)=A^2-B^2$ then $(ABA^{-1})^2$ is equal to

asked Nov 22, 2013 by sreemathi.v

1 answer

Let $A=\begin{bmatrix}1&2\\3&4\end{bmatrix}$ and $B=\begin{bmatrix}a&0\\0&b\end{bmatrix}\;a,b\in N$.Then

asked Nov 21, 2013 by sreemathi.v

1 answer

If $A$ and $B$ are square matrices of equal degree,then which one is correct among the following

asked Nov 20, 2013 by sreemathi.v

1 answer

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