Determinants - Adjoint and Inverse of a matrix

Determine if the matrix has an inverse, if so find it.

• No
•  0   1
  -1   2
• -1   3
    1   -2
•   2   -1
  -1   1

Tags

CCSS.HSA.REI.C.9

If A is any invertible matrix then A is

• square matrix

• non singular matrix

• both

• none of these

Tags

CCSS.HSA.REI.C.9

If A is an invertible matrix of order 3 and |A|=5 then find |Adj A|

• 5

• 15

• 25

• 125

Tags

CCSS.HSA.REI.C.9

If A is square matrix of order 3 such that |AdjA| =64 , find |A|

• 64

• 8

• 4

• 192

Tags

CCSS.HSA.REI.C.9

If |A| = 0, then A is

• zero matrix

• singular matrix

• non-singular matrix

• Identity matrix

Det(A+B) = Det(A) + Det(B)

• Question statement is true.

• Question statement is false

Det(AB) = Det(A).Det(B)

• Statement is true only for some A and B.

• Statement is always true.

• Statement is never true.

Find the inverse of the matrix, if it exists.

• singular, no inverse

• 
• 
• 

Tags

CCSS.HSA.REI.C.9

If A is an invertible square matrix and k is a non-negative real number then  $\left(kA\right)^{-1}=$  

•  $k\left(A^{-1}\right)$  

•  $\frac{1}{k}\left(A^{-1}\right)$  

•  $-k\left(A^{-1}\right)$  

• none of these

Tags

CCSS.HSA.REI.C.9

• 
• 
• 
• 

Tags

CCSS.HSA.REI.C.9