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Matrices and Vectors

ICSE · Class 11 · Artificial Intelligence

Practice quiz for Matrices and Vectors — ICSE Class 11 Artificial Intelligence. MCQs and questions with answers to test your preparation.

65 questions36 flashcards5 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?

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[[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?
Matrices and Vectors covers several key topics that are frequently asked in ICSE Class 11 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Matrices and Vectors — ICSE Class 11 Artificial Intelligence?
Understand the core concepts first, then work through the 65 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

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