Understanding and applying determinants

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What is the determinant of this matrix? Calculate by hand.

• 5

• -5

• 0

• -12

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

Let A is square matrix of order 3, |𝐴| ≠ 0 𝑎𝑛𝑑 |3𝐴| = 𝑘|𝐴|, then write the value of k.

• 3

• 18

• 9

• 27

Evaluate the determinant without a calculator

• 37

• -37

• 58

• -58

Find det (D) for the above system of linear equation in matrix form , D X = d.

• 80

• -80

• -40

• 40

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

• k |A|

• k²|A|

• k³|A|

• 3k|A|

What is the determinant of this matrix?

• -832

• -608

• 132

• -524

• None of the above

Find the determinant of the 4x4 matrix.

• 18

• -32

• 30

• 46

• 1

• 0

• 2

• 4