class 12 determinants

1.  Let A be a square matrix of order 3 $\times$  3. Then  $\left|kA\right|$    is equal to 

•  $k^2\left|A\right|$   

•  $k^2\left|A\right|$  

•  $k^{3^{ }}\left|A\right|$  

•  $3k\left|A\right|$  

• 1

• 0

• a + b + c

• 3abc

• $k\ =\ -\frac{4}{3}$

• $k\ =\ -\frac{3}{4}$

• $k\ \ne-\frac{4}{3}$

• $k\ \ne\ -\frac{3}{4}$

• 
• 
• 
• 

• $k\ =\ \frac{8}{3}$

• $k\ =\ -\frac{8}{3}$

• $k\ \ne\frac{8}{3}$

• $k\ \ne-\frac{8}{3}$

• A is a square matrix

• A = (-1) I, where I is identity matrix

• $A^{-1}\ does\ not\ exist$

• $A^2\ =I,\ were\ I\ is\ identity\ matrix\$

• 2

• 3

• 4

• 5

Find the determinant of the following matrix.

• -7

• 7

• -23

• 23

Tags

CCSS.HSN.VM.C.12

Find the determinant of the following matrix.

• -12

• -10

• 12

• 10

Tags

CCSS.HSN.VM.C.12

Find the determinant of the following matrix.

• 15

• -15

• -9

• 9

Tags

CCSS.HSN.VM.C.12