Equations & Eigenvalues

Equations & Eigenvalues

1st Grade

10 Qs

quiz-placeholder

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Equations & Eigenvalues

Equations & Eigenvalues

Assessment

Quiz

Mathematics

1st Grade

Hard

Created by

Kavitha P

Used 2+ times

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the equation: 2x + 5 = 11

x = 3

x = 4

x = 6

x = 5

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the eigenvalues of the matrix: [[3, 1], [1, 3]]

[3, 3]

[2, 2]

[4, 2]

[5, 1]

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the system of equations: 3x + 2y = 8, 2x - y = 1

x = 2, y = 3

x = 3, y = 4

x = 1, y = 5

x = 4, y = 2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are eigenvectors and why are they important in linear algebra?

Eigenvectors are only applicable to non-linear transformations.

Eigenvectors are vectors that do not change direction when a linear transformation is applied to them, only their magnitude can change. They are important in linear algebra because they help in understanding the behavior of linear transformations and diagonalizing matrices.

Eigenvectors are vectors that change direction when a linear transformation is applied to them.

Eigenvectors are not important in linear algebra and are rarely used.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Apply matrix operation: [[1, 2], [3, 4]] + [[-1, 0], [2, 1]]

[[0, 2], [5, 5]]

[[1, 2], [3, 4]] + [[-1, 0], [2, 1]] = [[2, 2], [5, 5]]

[[1, 2], [3, 4]] + [[-1, 0], [2, 1]] = [[0, 2], [1, 5]]

[[1, 2], [3, 4]] + [[-1, 0], [2, 1]] = [[-1, 2], [3, 5]]

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Interpret geometrically the solution of the equation: 2x - 3y = 6

The solution of the equation 2x - 3y = 6 can be interpreted geometrically as a line with a slope of 2/3 passing through the point (0, -2) on the y-axis.

The solution of the equation 2x - 3y = 6 is a straight line passing through the point (0, 0).

The solution of the equation 2x - 3y = 6 is a parabola opening downwards.

The solution of the equation 2x - 3y = 6 represents a circle with a radius of 6 centered at the origin.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the equation: 4y - 7 = 5

y = 6

y = 3

y = 4

y = 2

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