### All Linear Algebra Resources

## Example Questions

### Example Question #1 : Matrix Vector Product

Multiply:

**Possible Answers:**

**Correct answer:**

To multiply, add:

### Example Question #1 : Matrix Vector Product

Compute AB.

**Possible Answers:**

None of the other answers.

**Correct answer:**

Because the number of columns in matrix A and the number of rows in matrix B are equal, we know that product AB does in fact exist. Matrix AB should have the same number of rows as A and the same number of columns as B. In this case, AB is a 2x3 matrix:

### Example Question #3 : Matrix Vector Product

Compute AB

**Possible Answers:**

None of the other answers

**Correct answer:**

Because the number of columns in matrix A and the number of rows in matrix B are equal, we know that product AB does in fact exist. Matrix AB should have the same number of rows as A and the same number of columns as B. In this case, AB is a 1x4 matrix:

### Example Question #4 : Matrix Vector Product

Calculate , given

,

**Possible Answers:**

**Correct answer:**

By definition,

.

### Example Question #791 : Linear Algebra

Calculate , given

**Possible Answers:**

**Correct answer:**

By definition,

. A matrix with only one entry is simply a scalar.

### Example Question #1 : Matrix Vector Product

Calculate , given

.

**Possible Answers:**

Can not be determined, is not a vector.

**Correct answer:**

By definition,

.

### Example Question #1 : Matrix Vector Product

**Possible Answers:**

**Correct answer:**

### Example Question #1 : Matrix Vector Product

**Possible Answers:**

**Correct answer:**

### Example Question #9 : Matrix Vector Product

**Possible Answers:**

**Correct answer:**

### Example Question #10 : Matrix Vector Product

**Possible Answers:**

**Correct answer:**

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