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Matrices and Vectors — Practice Quiz

ICSE · Class 11 · Artificial Intelligence

Try a 4-question quiz on Matrices and Vectors for ICSE Class 11 Artificial Intelligence: tap an answer to check it and see why.

65 questions36 flashcards11 formulas & key relations5 concepts

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Quick Quiz: Matrices and Vectors

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1

A matrix A has 3 rows and 2 columns. What is its order?

2

For the matrix A = [[6,1,1],[4,-2,5],[2,8,7]], what is the trace of A?

3

Find the determinant of the 2 × 2 matrix [[2,4],[3,8]].

4

Find the determinant of the matrix A = [[6,1,1],[4,-2,5],[2,8,7]] using the given expansion.

65 Questions·
multiple choicemultiple correct

Sample Questions

1multiple choice
3 marks

Two matrices of order 2 × 3 are added element by element. If A and B are both 2 × 3 matrices, what is the order of A + B?

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2 × 3

When two matrices of order m × n are added, corresponding elements are added and the result is also of order m × n. So A + B has order 2 × 3.

2multiple choice
3 marks

A matrix A is multiplied by a scalar K = 2. If A = [[1,2],[3,-5]], what is 2A?

Show answer

[[2,4],[6,-10]]

Scalar multiplication means every element of the matrix is multiplied by the scalar. So 2A = [[2 × 1, 2 × 2],[2 × 3, 2 × (-5)]] = [[2,4],[6,-10]].

3multiple choice
3 marks

For the matrices A = [[2,-3,4],[3,6,-1]] and B = [[2,5],[-1,0],[4,-2]], what is the order of AB?

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2 × 2

Matrix multiplication AB is possible when the number of columns in A equals the number of rows in B. Here A is 2 × 3 and B is 3 × 2, so AB exists and its order is 2 × 2.

4multiple choice
3 marks

Multiply the matrices A = [[2,-3,4],[3,6,-1]] and B = [[2,5],[-1,0],[4,-2]]. What is the entry in the first row, first column of AB?

Show answer

23

The first row of A is (2, -3, 4) and the first column of B is (2, -1, 4). Their product is 2 × 2 + (-3) × (-1) + 4 × 4 = 4 + 3 + 16 = 23.

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Frequently Asked Questions

What are the important topics in Matrices and Vectors for ICSE Class 11 Artificial Intelligence?
Key topics in Matrices and Vectors include Matrix Basics, Types of Matrices, Matrix Operations, Matrix Arithmetic. Study these first, then practise questions on each for Class 11 exams.
How many practice questions are there for Matrices and Vectors?
There are 65 questions on Matrices and Vectors. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

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Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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