Chapter Exam

Unit 3: Matrices — Online MCQ Test

Q: What is the order of a matrix with 3 rows and 2 columns?

Answer: B. 3 × 2 — A matrix is written in the form m × n, where m is the number of rows and n is the number of columns. Here, there are 3 rows and 2 columns, so the order is 3 × 2.

Q: Which of the following matrices is a square matrix?

Answer: C. A matrix of order 3 × 3 — A square matrix has the same number of rows and columns. Among the given options, only 3 × 3 satisfies this condition.

Q: If A is a 2 × 3 matrix and B is a 3 × 4 matrix, then the order of AB is:

Answer: A. 2 × 4 — For matrix multiplication AB, the inner dimensions must match. The product has the order of the outer dimensions, so AB is 2 × 4.

MATHEMATICS - IA · CLASS 11 INTERMEDIATE 1 YEAR · Telangana State Board

Practice Unit 3: Matrices with a free chapter-wise online MCQ test for Telangana State Board CLASS 11 INTERMEDIATE 1 YEAR MATHEMATICS - IA. This chapter covers: This chapter details matrix operations additions scalar multiplications matrix multiplications determinants inverse matrices Cramer rule matrix inversion method and Gauss-Jordan el.... AI-generated questions from basic to board-exam level, with instant results and explanations.

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Unit 3: Matrices — Important Questions & Answers (FAQ)

Frequently asked questions from Telangana State Board CLASS 11 INTERMEDIATE 1 YEAR MATHEMATICS - IA — Unit 3: Matrices, with answers and explanations. These are sample questions; the exam has its own separate question set.

What is the order of a matrix with 3 rows and 2 columns?

A. 2 × 3
B. 3 × 2 ✓
C. 3 × 3
D. 2 × 2

Answer: B. 3 × 2
A matrix is written in the form m × n, where m is the number of rows and n is the number of columns. Here, there are 3 rows and 2 columns, so the order is 3 × 2.

Which of the following matrices is a square matrix?

A. A matrix of order 2 × 3
B. A matrix of order 1 × 4
C. A matrix of order 3 × 3 ✓
D. A matrix of order 4 × 2

Answer: C. A matrix of order 3 × 3
A square matrix has the same number of rows and columns. Among the given options, only 3 × 3 satisfies this condition.

If A is a 2 × 3 matrix and B is a 3 × 4 matrix, then the order of AB is:

A. 2 × 4 ✓
B. 3 × 3
C. 2 × 3
D. 3 × 4

Answer: A. 2 × 4
For matrix multiplication AB, the inner dimensions must match. The product has the order of the outer dimensions, so AB is 2 × 4.

Which of the following is the correct step in the Gauss-Jordan elimination method?

A. Convert the matrix into a diagonal matrix only
B. Reduce the augmented matrix to reduced row echelon form ✓
C. Find determinant first, then inverse only
D. Use only column operations

Answer: B. Reduce the augmented matrix to reduced row echelon form
Gauss-Jordan elimination solves linear equations by transforming the augmented matrix into reduced row echelon form using elementary row operations.

Which of the following is the most appropriate reason why elementary row operations are used in Gauss-Jordan elimination?

A. They change the solution set of the system
B. They preserve the solution set while simplifying the system ✓
C. They make every matrix square
D. They always produce the inverse directly

Answer: B. They preserve the solution set while simplifying the system
Elementary row operations do not change the solution set of a linear system. They are used to simplify the augmented matrix into a form from which solutions can be read easily.