MCQs of Matrices

Showing 1 to 10 out of 69 Questions

If A = [a_ij]_{n × n} such that a_ij= 0 for i ≠ j then A is _____ (a_ij≠ a_jj) (n > 1)

A is 3 × 4 matrix, if A^TB and BA^Tare defined then, B is a _____ matrix.

I f A = [\begin{matrix} a & b \\ b & a \end{matrix}] a n d A^{2} = [\begin{matrix} x & y \\ y & x \end{matrix}], t h e n x =_____, y =_____.

If α and β are not the multiple of \frac{π}{2} and (\begin{matrix} c o s^{2} α & c o s α s i n α \\ c o s α s i n α & s i n^{2} α \end{matrix}) \times (\begin{matrix} c o s^{2} β & s i n β c o s β \\ s i n β c o s β & s i n^{2} B \end{matrix}) = (\begin{matrix} 0 & 0 \\ 0 & 0 \end{matrix}), t h e n α - β i s_____.

If (\begin{matrix} x & 0 \\ 1 & y \end{matrix}) - (\begin{matrix} 2 & - 4 \\ - 3 & - 4 \end{matrix}) = (\begin{matrix} 3 & 5 \\ 6 & 3 \end{matrix}) - (\begin{matrix} 2 & 1 \\ 2 & 1 \end{matrix}), then x_____, y_____.

I f i n v e r s e o f A = [\begin{matrix} 1 & - 1 & 1 \\ 2 & 1 & - 3 \\ 1 & 1 & 1 \end{matrix}] i s \frac{1}{10} [\begin{matrix} 4 & 2 & 2 \\ - 5 & 0 & α \\ 1 & - 2 & 3 \end{matrix}], t h e n α =_____.

I f A B = B A a n d A = [\begin{matrix} 1 & 1 \\ 0 & 1 \end{matrix}], t h e n B =_____.

I f A = [\begin{matrix} 1 & 3 \\ 3 & 4 \end{matrix}] a n d A^{2} - k A - 5I = 0, t h e n k =_____.

If A = (\begin{matrix} 1 & 3 \\ 3 & 4 \end{matrix}) and A^{2} - kA - 51 = O, then k =_____.

10.

M a t r i x A = [\begin{matrix} 0 & 2 y & z \\ x & y & - z \\ x & - y & z \end{matrix}] i f A A^{T} = I, t h e n (x, y, z) = (_____,_____,_____) . (x, y, z > 0)

Showing 1 to 10 out of 69 Questions