# 10 True or False Problems about Basic Matrix Operations

## Problem 104

Test your understanding of basic properties of matrix operations.

There are 10 True or False Quiz Problems.

These 10 problems are very common and essential.
So make sure to understand these and don’t lose a point if any of these is your exam problems.
(These are actual exam problems at the Ohio State University.)

You can take the quiz as many times as you like.

The solutions will be given after completing all the 10 problems.
Click the View question button to see the solutions.

Notations: $I$ denotes an identity matrix and $O$ denotes a zero matrix. The sizes of these matrices should be determined from the context.

Determine whether each of the following sentences are True or False.

Notations: $I$ denotes an identity matrix and $O$ denotes a zero matrix. The sizes of these matrices should be determined from the context.

(The Ohio State University, linear algebra exam)

## Related Question.

Check out “10 True of False Problems about Nonsingular / Invertible Matrices” for True or False problems about nonsingular matrices, invertible matrices, and linearly independent vectors

### 5 Responses

1. Mishy says:

For question #8, Can’t A be equal to [x, 0; 0, y]?

• Yu says:

Dear Mishy,

The matrix $A$ must be fixed. So it cannot contain variables like $x, y$.

• Mishy says:

Got it. Thanks!

1. 07/06/2017

[…] Test your understanding about matrices with 10 True or False questions given in the post “10 True or False Problems about Basic Matrix Operations“. […]

2. 07/19/2017

[…] out the post “10 True or False Problems about Basic Matrix Operations” and take a quiz about basic properties of matrix […]

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