If A is square matrix of order 3 and | A | = 5, find the value of |-3,4|

1

(a)

-135

if \(\omega \)\(\Box\) is cube root of unity find the value of \(\triangle =\left\lfloor \begin{matrix} 1 & \omega & { \omega }^{ 2 } \\ \omega & { \omega }^{ 2 } & \omega \\ { \omega }^{ 2 } & 1 & 1 \end{matrix} \right\rfloor \)

1

(a)

0 (Using properties)

Find the value of determinant \(\triangle =\left\lfloor \begin{matrix} 1 & 2 & 4 \\ 8 & 16 & 32 \\ 64 & 128 & 256 \end{matrix} \right\rfloor \)

1

(a)

0 (Using properties)

Find the Value of determinant \(\triangle =\left| \begin{matrix} 2 & 2 & 2 \\ x & y & z \\ y+z & z+x & z+y \end{matrix} \right| \)

1

(a)

0 (Using properties)

If a, b care in A.P find the value of determinant\(\triangle =\left| \begin{matrix} x+1 & x+2 & x+a \\ x+2 & x+3 & x+b \\ x+3 & x+4 & x+c \end{matrix} \right| \)

1

(a)

0 (Using properties)