DETERMINANTS-2

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

• k |A|

• k²|A|

• k³|A|

• 3k|A|

Tags

CCSS.HSN.VM.C.7

If A is an invertible matrix of order 2 and |A|=5 then find |Adj A|

• 5

• 15

• 25

• 125

Tags

CCSS.HSN.VM.C.12

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

• 64

• 8

• 4

• 192

If |A| = 0, then A is

• zero matrix

• singular matrix

• non-singular matrix

• Identity matrix

Tags

CCSS.HSA.REI.C.9

Determine whether the matrices are multiplicative inverses.

• Yes
• No
• Elevator
• Pi

Tags

CCSS.HSA.REI.C.9

CCSS.HSN.VM.C.9

CCSS.HSN.VM.C.8

Calculate the determinant

• 0
• -15
• -70
• 10

Tags

CCSS.HSN.VM.C.12

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

Which of the following is true

• If any two rows / columns are interchanged then value of the determinant remains unchanged.

• If any two rows/ columns are interchanged then value of the determinant becomes two times.

• If any two rows / columns are interchanged then value of the determinant changes by minus sign.

• If any two rows/ columns are interchanged then value of the determinant becomes zero.

Which of the following is not true

• If any two rows / columns of a determinant are identical then the value of determinant is zero.

• If each element of a row / column of a determinant is multiplied by the same number k , then value of the new determinant is k times the value of original determinant.

• If A and B are square matrices of same order then |AB| = |A|.|B|

• If A is a square matrix then |A| = the sum of the products elements of any row/column with the cofactors of the corresponding elements of some other row/column

If A , B are invertible matrices of same order then

• |A| = 0

• |B| = 0

• IAB|=0

• none of these

Tags

CCSS.HSA.REI.C.9