# Calculus 3 : Matrices

## Example Questions

### Example Question #695 : Vectors And Vector Operations

Find the matrix product of , where  and

Possible Answers:

Correct answer:

Explanation:

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 #696 : Vectors And Vector Operations

Find the matrix product of , where  and

Possible Answers:

Correct answer:

Explanation:

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 #697 : Vectors And Vector Operations

Find the matrix product of , where  and

Possible Answers:

Correct answer:

Explanation:

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 #698 : Vectors And Vector Operations

Find the matrix product of , where  and

Possible Answers:

Correct answer:

Explanation:

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 #699 : Vectors And Vector Operations

Find the matrix product of , where  and

Possible Answers:

Correct answer:

Explanation:

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 #700 : Vectors And Vector Operations

Find the matrix product of , where  and

Possible Answers:

Correct answer:

Explanation:

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 #101 : Matrices

Find the matrix product of , where  and

Possible Answers:

Correct answer:

Explanation:

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 #102 : Matrices

Find the matrix product of , where  and

Possible Answers:

Correct answer:

Explanation:

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 #103 : Matrices

Find the matrix product of , where  and

Possible Answers:

Correct answer:

Explanation:

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 #104 : Matrices

Find the matrix product of , where  and

Possible Answers:

Correct answer:

Explanation:

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: