Revision grade 12

Evaluate the determinant of the matrix.

• $0$

• $-10$

• $20$

• $-20$

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

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

Two matrices A and B are multiplied to get AB if

• both are rectangular both have same order

• no of columns of A is equal to columns of B

• no of rows of A is equal to no of columns of B

• no of columns of A is equal to no of rows of B

Solve system by using Cramer's Rule. Answers are written in the following form (x,y)
 $4x+6y=3$  
 $8x-3y=1$  

•  $\left(\frac{1}{4},\frac{1}{3}\right)$  

•  $\left(-\frac{1}{3},\frac{1}{4}\right)$  

•  $\left(\frac{1}{3},\frac{1}{4}\right)$  

•  $\left(\frac{1}{4},-\frac{1}{3}\right)$  

Tags

CCSS.HSA.REI.C.9

Calculate the determinant

• 0
• -15
• -70
• 10

Tags

CCSS.HSN.VM.C.12

• 1

• 2

• 3

• 0

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.C.8

CCSS.HSA.REI.C.9

• 2

• 1

• 0

• NONE OF THESE

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

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.

The points A (3, 4), B (─ 2, 4), C (─ 2, ─ 1) and D (3, ─ 1) are the vertices of a :

• Square

• REctangle

• Parallelogram

• Rhombus