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3 Questions

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Matrices and Determinants Quiz

Created by

@SnappyLobster

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Questions and Answers

What is the matrix representation of a 3x3 identity matrix?

[[1, 1, 1], [1, 1, 1], [1, 1, 1]]

[[1, 0, 0], [0, 1, 0], [0, 0, 1]] (correct)

[[0, 1, 0], [1, 0, 1], [0, 1, 0]]

[[1, 0, 1], [0, 1, 0], [1, 0, 1]]

What is the determinant of a 2x2 matrix [[a, b], [c, d]]?

ab + cd

a^2 + b^2 + c^2 + d^2

a + b + c + d

ad - bc (correct)

What is the determinant of a 3x3 matrix [[1, 2, 3], [4, 5, 6], [7, 8, 9]]?

0 (correct)

Study Notes

Matrix Representation

The matrix representation of a 3x3 identity matrix is [[1, 0, 0], [0, 1, 0], [0, 0, 1]]

Determinant of a 2x2 Matrix

The determinant of a 2x2 matrix [[a, b], [c, d]] is ad - bc

Determinant of a 3x3 Matrix

The determinant of a 3x3 matrix [[1, 2, 3], [4, 5, 6], [7, 8, 9]] is 0

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Description

Test your knowledge of matrices and determinants in this Class 12 Mathematics quiz. Answer questions about the matrix representation of a 3x3 identity matrix, the determinant of a 2x2 matrix, and the determinant of a 3x3 matrix. Sharpen your understanding of these fundamental concepts in linear algebra.