Determinants

Find the determinant of the following matrix.

• 
  

  $\frac{-1}{4}$
  

• $\frac{1}{4}$

• $\frac{-1}{8}$

• $\frac{1}{8}$

Find the determinant of the following matrix.

• -15

• 15

• 18

• -18

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

•  $k^2\left|A\right|$   

•  $k^2\left|A\right|$  

•  $k^{3^{ }}\left|A\right|$  

•  $3k\left|A\right|$  

• $k\ =\ -\frac{4}{3}$

• $k\ =\ -\frac{3}{4}$

• $k\ \ne-\frac{4}{3}$

• $k\ \ne\ -\frac{3}{4}$

Tags

CCSS.HSA.REI.C.9

• $k\ =\ \frac{8}{3}$

• $k\ =\ -\frac{8}{3}$

• $k\ \ne\frac{8}{3}$

• $k\ \ne-\frac{8}{3}$

• 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\$

Tags

CCSS.HSN.VM.C.10

If A and B are invertible matrix then (AB)^-1 =

• A^-1B^-1

• AB

• B^-1A^-1

• none of these

Tags

CCSS.HSN.VM.C.10

If A is any invertible matrix then A is

• square matrix

• non singular matrix

• both

• none of these

Tags

CCSS.HSA.REI.C.9

1. Let A be a square matrix of order 3x3 then| kA| = .

• k |A|

• k²|A|

• k³|A|

• 3k|A|

1. which of the following is correct

• determinants is a square matrix

  
  

• determinants is a number associated to a matrix

• determinants is a number associated to a square matrix

• none of these