### All Calculus 3 Resources

## Example Questions

### Example Question #61 : Matrices

Find the matrix product of , where and .

**Possible Answers:**

**Correct answer:**

In order to multiply two matrices, , the respective dimensions of each must be of the form and to create an (notation is rows x columns) matrix. Unlike the multiplication of individual values, the order of the matrices *does* matter.

For a multiplication of the form

The resulting matrix is

The notation may be daunting but numerical examples may elucidate.

We're told that and

The resulting matrix product is then:

### Example Question #62 : Matrices

Find the matrix product of , where and .

**Possible Answers:**

**Correct answer:**

In order to multiply two matrices, , the respective dimensions of each must be of the form and to create an (notation is rows x columns) matrix. Unlike the multiplication of individual values, the order of the matrices *does* matter.

For a multiplication of the form

The resulting matrix is

The notation may be daunting but numerical examples may elucidate.

We're told that and

The resulting matrix product is then:

In this case, A is a special type of matrix known as an identity matrix.

### Example Question #63 : Matrices

Find the matrix product of , where and .

**Possible Answers:**

**Correct answer:**

In order to multiply two matrices, , the respective dimensions of each must be of the form and to create an (notation is rows x columns) matrix. Unlike the multiplication of individual values, the order of the matrices *does* matter.

For a multiplication of the form

The resulting matrix is

The notation may be daunting but numerical examples may elucidate.

We're told that and

The resulting matrix product is then:

### Example Question #64 : Matrices

Find the matrix product of , where and .

**Possible Answers:**

**Correct answer:**

*does* matter.

For a multiplication of the form

The resulting matrix is

The notation may be daunting but numerical examples may elucidate.

We're told that and

The resulting matrix product is then:

### Example Question #2661 : Calculus 3

Find the determinant of the matrix

**Possible Answers:**

**Correct answer:**

The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:

For the matrix

The determinant is thus:

### Example Question #2662 : Calculus 3

Find the determinant of the matrix

**Possible Answers:**

**Correct answer:**

The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:

For the matrix

The determinant is thus:

### Example Question #2663 : Calculus 3

Find the determinant of the matrix

**Possible Answers:**

**Correct answer:**

The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:

For the matrix

The determinant is thus:

### Example Question #2664 : Calculus 3

Find the determinant of the matrix

**Possible Answers:**

**Correct answer:**

The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:

For the matrix

The determinant is thus:

### Example Question #2665 : Calculus 3

Find the determinant of the matrix

**Possible Answers:**

**Correct answer:**

The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:

For the matrix

The determinant is thus:

### Example Question #2666 : Calculus 3

Find the determinant of the matrix

**Possible Answers:**

**Correct answer:**

The determinant of a 2x2 matrix can be found by cross multiplying terms as follows:

For the matrix

The determinant is thus: