Linear Algebra : Matrix-Vector Product

Study concepts, example questions & explanations for Linear Algebra

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Example Questions

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Example Question #1 : Matrix Vector Product

Multiply

Possible Answers:

Correct answer:

Explanation:

To multiply, add:

Example Question #2 : Matrix Vector Product

Multiply:

Possible Answers:

Correct answer:

Explanation:

To multiply, add:

Example Question #3 : Matrix Vector Product

Compute AB.

Possible Answers:

None of the other answers.

Correct answer:

Explanation:

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 #1 : Matrix Vector Product

Compute AB

Possible Answers:

None of the other answers

Correct answer:

Explanation:

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 #2 : Matrix Vector Product

Calculate , given 

 ,

Possible Answers:

Correct answer:

Explanation:

By definition,

.

Example Question #6 : Matrix Vector Product

Calculate , given 

Possible Answers:

Correct answer:

Explanation:

By definition, 

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

Example Question #3 : Matrix Vector Product

Calculate , given 

.

Possible Answers:

Can not be determined,  is not a vector.

Correct answer:

Explanation:

By definition, 

.

Example Question #8 : Matrix Vector Product

Possible Answers:

Correct answer:

Explanation:

Example Question #9 : Matrix Vector Product

Possible Answers:

Correct answer:

Explanation:

Example Question #10 : Matrix Vector Product

Possible Answers:

Correct answer:

Explanation:

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