determinants

Find the determinant of the following matrix.

• -7

• 7

• -23

• 23

Tags

CCSS.HSN.VM.C.12

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

•  $k^2\left|A\right|$   

•  $k^2\left|A\right|$  

•  $k^{3^{ }}\left|A\right|$  

•  $3k\left|A\right|$  

• 
• 
• 
• 

Tags

CCSS.HSA.REI.C.9

• 1

• 0

• a + b + c

• 3abc

• $k\ =\ -\frac{4}{3}$

• $k\ =\ -\frac{3}{4}$

• $k\ \ne-\frac{4}{3}$

• $k\ \ne\ -\frac{3}{4}$

Tags

CCSS.HSA.REI.C.9

Calculate the determinant

• 0
• -15
• -70
• 10

Tags

CCSS.HSN.VM.C.12

If A and B are square matrices of order 2, then Det(A + B) = 0 is possible when-

• det A = 0 or det B = 0

• det A + det B = 0

• det A = 0 and det B= 0

• A + B = 0

If A is a singular matrix then the value of  $\left|A\right|$  is

• 0

• non zero integer
  

• non zero real number
  

• undetermined

Value of determinant remains unchanged if its row and columns are interchanged.

• IF |A| = 0 ,then true

• If |A| not equal to 0 then true

• Always true

• Always false

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

• A^-1B^-1

• AB

• B^-1A^-1

• none of these