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Example Questions
Example Question #1 : The Determinant
Calculate the determinant of matrix A where
0
Not Possible
10
-50
45
Not Possible
The matrix must be square to calculate its determinant, therefore, it is not possible to calculate the determinant for this matrix.
Example Question #2 : The Determinant
Calculate the determinant of matrix A where,
7
17
0
-7
12
7
To calculate the determinant of a 2x2 matrix, we can use the equation
Example Question #3 : The Determinant
Calculate the determinant of matrix A where,
54
0
-504
504
-315
504
To calculate the determinant of a 2x2 matrix, we can use the equation
Example Question #4 : The Determinant
Calculate the determinant of matrix A where,
15
0
16
17
-15
16
To calculate the determinant of a 2x2 matrix, we can use the equation
Example Question #5 : The Determinant
Calculate the determinant of matrix A where,
0
15
26
-26
-24
-26
Calculating the determinant of a 3x3 matrix is more difficult than a 2x2 matrix. To calculate the determinant of a 3x3 matrix, we use the following
Example Question #6 : The Determinant
Calculate the determinant of matrix A where,
-49
50
-50
0
49
-50
Calculating the determinant of a 3x3 matrix is more difficult than a 2x2 matrix. To calculate the determinant of a 3x3 matrix, we use the following
Example Question #7 : The Determinant
Calculate the determinant of .
By definition,
,
therefore,
.
Example Question #8 : The Determinant
Calculate the determinant of
For simplicity, we will find the determinant by expanding along the second row. Consider the following:
Example Question #9 : The Determinant
Calculate the determinant of .
By definition,
.
Example Question #7 : The Determinant
Calculate the determinant of matrix A.
Not possible
In order to find the determinant of a 2x2 matrix, compute :
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