Explore topic-wise MCQs in Linear Algebra.

This section includes 2 Mcqs, each offering curated multiple-choice questions to sharpen your Linear Algebra knowledge and support exam preparation. Choose a topic below to get started.

1.

For the linear transformation, X= ( begin{bmatrix}2&1&1 1&1&2 1&0&-2 end{bmatrix} )Y, find the Y co-ordinates for (1, 2, -1) in X.

A. (0, -2, 0)
B. (-1, 3, 1)
C. (-1, -2, 0)
D. (-1, 3, 0)
Answer» E.
2.

Which of the following Linear Transformations is not correct for the given matrix? ( begin{bmatrix}1&2&-3 -1&0&1 2&1&0 end{bmatrix} )

A. x<sub>1</sub>=1y<sub>1</sub>-3y<sub>2</sub>-3y<sub>3</sub>
B. x<sub>1</sub>=1y<sub>1</sub>-2y<sub>2</sub>-3y<sub>3</sub>
C. x<sub>2</sub>=-1y<sub>1</sub>+1y<sub>3</sub>
D. x<sub>3</sub>=2y<sub>1</sub>+y<sub>2</sub>
Answer» B. x<sub>1</sub>=1y<sub>1</sub>-2y<sub>2</sub>-3y<sub>3</sub>