Calculus 3 : Matrices

Example Questions

Example Question #131 : Matrices

Find the determinant of the 3x3 matrix      Explanation:

To find the determinant of any 3x3 matrix , we use the formula . Using the vector from the problem statement, we get Example Question #132 : Matrices

Perform the matrix operation      Explanation:

To find the difference between two 2x2 matrices and you use the formula . Using the two matrices from the problem statement, we then get Example Question #133 : Matrices

Perform the matrix operation      Explanation:

To find the difference between two 2x2 matrices and you use the formula . Using the two matrices from the problem statement, we then get Example Question #134 : Matrices

Find the determinant of the 2x2 matrix      Explanation:

To find the determinant of a 2x2 matrix ,we use the formula Using hte matrix from the problem statement, we get Example Question #135 : Matrices

Find the determinant of the 3x3 matrix      Explanation:

To find the determinant of the 3x3 matrix , we use the formula: . Using the matrix from the problem statement, we get:  Example Question #136 : Matrices

Find the determinant of the 3x3 matrix      Explanation:

To find the determinant of the 3x3 matrix , we use the formula: . Using the matrix from the problem statement, we get: Example Question #137 : Matrices

Perform the matrix operation      Explanation:

To do matrix summation, you apply the following formula, where a and b are 4x4 matrices: Using this formula, we get Example Question #138 : Matrices

Find the determinant of the 3x3 matrix given:      Explanation:

To find the the determinant of a 3x3 matrix , you apply the following formula Applying to the matrix from the problem statement, we get Example Question #139 : Matrices

Find the determinant of the 3x3 matrix given:      Explanation:

To find the the determinant of a 3x3 matrix , you apply the following formula Applying to the matrix from the problem statement, we get Example Question #140 : Matrices

Find the determinant of the 2x2 matrix given:      Explanation:

To find the determinant of a 2x2 matrix , we use the formula: Using the vector from the problem statement, we get:  