|BSM

Questions

1 / 10

Time

Score

Create An Identity Matrix Of Any Dimension

What is the significance of an Identity Matrix in linear algebra?

It is used for addition operations.

It is the multiplicative identity in matrix multiplication.

How does the trace of an Identity Matrix relate to its dimension?

It is always half of the dimension.

It is equal to the dimension.

How do you create a 3x3 Identity Matrix?

Can an Identity Matrix be added to or subtracted from another matrix?

No

Yes

What is the product of any matrix A and its corresponding Identity Matrix Iₙ?

A matrix of zeros

The original matrix A

How is the Identity Matrix represented in mathematical notation?

I

Iₙ

How does the determinant of an Identity Matrix vary with its dimension?

It is always 0.

It is always 1.

What is the primary property of an Identity Matrix?

It has all elements as 1s.

When multiplied by a matrix, it yields the original matrix.

Can an Identity Matrix be non-square?

Yes

No

What is the result of multiplying any matrix A by the zero matrix of the same dimensions?

A matrix with all elements as zeros.

The zero matrix of the same dimensions as A.

Questions

Time

Score

Create An Identity Matrix Of Any Dimension

What is the significance of an Identity Matrix in linear algebra?

It is used for addition operations.

It is the multiplicative identity in matrix multiplication.

How does the trace of an Identity Matrix relate to its dimension?

It is always half of the dimension.

It is equal to the dimension.

How do you create a 3x3 Identity Matrix?

Can an Identity Matrix be added to or subtracted from another matrix?

No

Yes

What is the product of any matrix A and its corresponding Identity Matrix Iₙ?

A matrix of zeros

The original matrix A

How is the Identity Matrix represented in mathematical notation?

I

Iₙ

How does the determinant of an Identity Matrix vary with its dimension?

It is always 0.

It is always 1.

What is the primary property of an Identity Matrix?

It has all elements as 1s.

When multiplied by a matrix, it yields the original matrix.

Can an Identity Matrix be non-square?

Yes

No

What is the result of multiplying any matrix A by the zero matrix of the same dimensions?

A matrix with all elements as zeros.

The zero matrix of the same dimensions as A.

Incorrect

Great!