MyQuestionIcon

Minor

Minor

Trending Questions

Q.

The minor of the element $3$ in the determinant $∣ ∣ ∣ ∣ \begin{matrix} 1 & 2 & 3 4 & 5 & 6 7 & 8 & 9 \end{matrix} ∣ ∣ ∣ ∣$ is .......

__

drop_down_image

Q.

The minor of the element 3 in the determinant $∣ ∣ ∣ ∣ \begin{matrix} 1 & 2 & 3 4 & 5 & 6 7 & 8 & 9 \end{matrix} ∣ ∣ ∣ ∣$ is ___

drop_down_image

Q. The minors of -4 and 9 and the co-factors of -4 and 9 in determinant

∣ ∣ ∣ ∣ \begin{matrix} - 1 & - 2 & 3 - 4 & - 5 & - 6 - 7 & 8 & 9 \end{matrix} ∣ ∣ ∣ ∣

are respectively

42, 3 ; – 42, 3
–42, –3 ; 42, –3
42, 3 ; – 42, – 3
42, 3; 42, 3

drop_down_image

Q.

List the elements of the set of square of first five natural numbers ?

drop_down_image

Q.

The minor matrix of the matrix $⎡ ⎢ ⎣ \begin{matrix} 1 & - 1 & 2 2 & - 1 & 1 1 & 1 & - 1 \end{matrix} ⎤ ⎥ ⎦$ is

$⎡ ⎢ ⎣ \begin{matrix} 0 & - 3 & 3 - 1 & - 3 & 2 1 & - 3 & 1 \end{matrix} ⎤ ⎥ ⎦$
$⎡ ⎢ ⎣ \begin{matrix} 0 & - 3 & 1 1 & - 3 & 2 - 1 & - 3 & 3 \end{matrix} ⎤ ⎥ ⎦$
$⎡ ⎢ ⎣ \begin{matrix} 0 & 3 & 3 - 1 & - 3 & 2 1 & - 3 & 1 \end{matrix} ⎤ ⎥ ⎦$
None of these

drop_down_image

Q.

If $Δ ∣ ∣ ∣ ∣ \begin{matrix} a_{11} & a_{12} & a_{13} a_{21} & a_{22} & a_{23} a_{31} & a_{32} & a_{33} \end{matrix} ∣ ∣ ∣ ∣$ and $A_{i j}$ is cofactor of $a_{i j}$ , then value of $Δ$ is given by

a) $a_{11} A_{31} + a_{12} A_{32} + a_{13} A_{33}$
b) $a_{11} A_{11} + a_{12} A_{21} + a_{13} A_{31}$
c) $a_{21} A_{11} + a_{22} A_{12} + a_{23} A_{13}$
d) $a_{11} A_{11} + a_{21} A_{21} + a_{31} A_{31}$

drop_down_image

Q. The value of determinant

Δ = ∣ ∣ ∣ ∣ ∣ ∣ ∣ \begin{matrix} sin (n π) & tan (2 n π) & cos ((2 n + 1) \frac{π}{2}) 1 & 0 & - 1 ln (7) & cos (\frac{π}{4}) & - 2 \end{matrix} ∣ ∣ ∣ ∣ ∣ ∣ ∣

is

drop_down_image

Q.

Consider the determinant

Δ = ∣ ∣ ∣ ∣ \begin{matrix} a_{1} & a_{2} & a_{3} b_{1} & b_{2} & b_{3} c_{1} & c_{2} & c_{3} \end{matrix} ∣ ∣ ∣ ∣

M_{i j} =

Minor of the element of

i^{t h}

row &

j^{t h}

column.

C_{i j} =

Cofactor of element of

i^{t h}

row &

j^{t h}

column.

a_{3} M_{13} - b_{3} M_{23} + c_{3} M_{33}

is equal to

$0$
$4 Δ$
$2 Δ$
$Δ$

drop_down_image

Q.

The minor matrix of the matrix $⎡ ⎢ ⎣ \begin{matrix} 1 & - 1 & 2 2 & - 1 & 1 1 & 1 & - 1 \end{matrix} ⎤ ⎥ ⎦$ is

$⎡ ⎢ ⎣ \begin{matrix} 0 & - 3 & 3 - 1 & - 3 & 2 1 & - 3 & 1 \end{matrix} ⎤ ⎥ ⎦$
$⎡ ⎢ ⎣ \begin{matrix} 0 & - 3 & 1 1 & - 3 & 2 - 1 & - 3 & 3 \end{matrix} ⎤ ⎥ ⎦$
$⎡ ⎢ ⎣ \begin{matrix} 0 & 3 & 3 - 1 & - 3 & 2 1 & - 3 & 1 \end{matrix} ⎤ ⎥ ⎦$
None of these

drop_down_image

Q. If

Δ = ∣ ∣ ∣ ∣ \begin{matrix} 5 & 3 & 8 2 & 0 & 1 1 & 2 & 3 \end{matrix} ∣ ∣ ∣ ∣

, write the minor of the element

a_{23} .

drop_down_image

Q. Find the minors of elements of second row of determinant

∣ ∣ ∣ ∣ \begin{matrix} 2 & 3 & 4 3 & 6 & 5 1 & 8 & 9 \end{matrix} ∣ ∣ ∣ ∣

.

drop_down_image

Q.

The minor matrix of the matrix $⎡ ⎢ ⎣ \begin{matrix} 1 & - 1 & 2 2 & - 1 & 1 1 & 1 & - 1 \end{matrix} ⎤ ⎥ ⎦$ is

None of these

drop_down_image

Q.

Find the minor of

⎡ ⎢ ⎣ \begin{matrix} 2 & 7 & 3 - 4 & 3 & - 1 0 & - 3 & 7 \end{matrix} ⎤ ⎥ ⎦

.

drop_down_image

Q. The value of

∣ ∣ ∣ ∣ \begin{matrix} 41 & 1 & 5 79 & 7 & 9 29 & 5 & 3 \end{matrix} ∣ ∣ ∣ ∣

is:

$5$
$3$
$1$
$0$

drop_down_image

Q. Find the minor of the element of second row and third column (

a 23

) in the following determinant:

∣ ∣ ∣ ∣ \begin{matrix} 2 & - 3 & 5 6 & 0 & 4 1 & 5 & - 7 \end{matrix} ∣ ∣ ∣ ∣

drop_down_image

Q. Prove the following :

∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ \begin{matrix} \frac{a^{2} + b^{2}}{c} & c & c a & \frac{b^{2} + c^{2}}{a} & a b & b & \frac{c^{2} + a^{2}}{b} \end{matrix} ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ = 4 a b c

drop_down_image

Q. Minor

m_{33}

of the determinant

∣ ∣ ∣ ∣ \begin{matrix} 2 & 3 & 5 2 & - 1 & 8 1 & 2 & 4 \end{matrix} ∣ ∣ ∣ ∣

is

drop_down_image

Q. If the minor of three-one element (i.e

M_{31}

) in the determinant

∣ ∣ ∣ ∣ \begin{matrix} 0 & 1 & sec α tan α & - sec α & tan α 1 & 0 & 1 \end{matrix} ∣ ∣ ∣ ∣

is

1

then find the value of

α

.

(0 \leq α \leq π)

drop_down_image

Q. The minors of -4 and 9 and the co-factors of -4 and 9 in determinant

∣ ∣ ∣ ∣ \begin{matrix} - 1 & - 2 & 3 - 4 & - 5 & - 6 - 7 & 8 & 9 \end{matrix} ∣ ∣ ∣ ∣

are respectively

42, 3 ; – 42, 3
–42, –3 ; 42, –3
42, 3 ; – 42, – 3
42, 3; 42, 3

drop_down_image

Q. If

A

is a matrix or order

3 \times 3

then number of minors in determinant of

A

are__________

drop_down_image

Q. If

A = ⎡ ⎢ ⎣ \begin{matrix} 1^{2} & 2^{2} & 3^{2} 2^{2} & 3^{2} & 4^{2} 3^{2} & 4^{2} & 5^{2} \end{matrix} ⎤ ⎥ ⎦

, then the minor of

a_{22}

is

$- 43$
$- 56$
$51$
$41$

drop_down_image

Q.

The minor of the element 3 in the determinant $∣ ∣ ∣ ∣ \begin{matrix} 1 & 2 & 3 4 & 5 & 6 7 & 8 & 9 \end{matrix} ∣ ∣ ∣ ∣$ is ___

drop_down_image

Q. If

Δ = ∣ ∣ ∣ ∣ \begin{matrix} 1 & 2 & 3 2 & 0 & 1 5 & 3 & 8 \end{matrix} ∣ ∣ ∣ ∣

, write the minor of the elements

a_{22}

drop_down_image