MATRIX DETERMINANT

Example 1 :

Find determinant of the following matrix.

3 4 1 0 -1 2 5 -2 6

Solution :

A=	3 4 1 0 -1 2 5 -2 6

    =  3 [ -6-(-4) ] -4 [ 0-10 ]+1 [0-(-5)]

    =  3 [ -6+4 ] -4 [ -10 ]+1 [5]

    =  3 [ -2 ] -4 [ -10 ]+ 1 [5]

    =  -6 + 40 + 5

    =  -6 + 45

    =  39 

Example 2 :

Find determinant of the following matrix.

1 1 -1 2 1 -2 1 -1 1

Solution :

    =  1 [1-2 ] -1 [ 2-(-2) ] - 1 [-2-1]

    =  1 [-1] -1 [ 2+2 ] - 1 [-3]

    =  -1 -1 (4) + 3

    =  -1 -4 + 3

    =  -5 + 3

    =  -2

Example 3 :

Find determinant of the following matrix.

1 2 3 -1 3 4 2 0 -1

Solution :

    =  1 [ -3 - 0 ] -2 [ 1 - 8 ] + 3 [0 - 6]

    =  1 [ -3 ] -2 [ -7 ] + 3 [- 6]

    =   -3 + 14 - 18

    =   -21 + 14

    =   -7               matrix determinant   matrix determinant  matrix determinant

Related Pages

• Types of matrices
• Equality of matrices
• Operation on matrices
• Algebraic properties of matrices
• Multiplication properties
• Minor of a matrix
• Practice questions of minor of matrix
• Adjoint of matrix
• Adjoint of matrix worksheets
  
• Determinant of matrix
• Inverse of a matrix
• Practice questions of inverse of matrix
• Inversion method
• Inversion method worksheets
• Cramer's Rule for 3 equations
• Cramer's Rule for 2 equations
• Solving 2 equations using Cramer's method
• Rank Method in Matrix
• Rank of a matrix
• Solving using rank method
• Linear dependence of vectors
• Linear dependence of vectors in rank method
• Characteristic Equation of matrix
• Characteristic vector of matrix
• Diagonalization of matrix
• Gauss elimination method
  
• Matrix calculator
• Matrix worksheets
  

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