PAU Applied Math ACS II (Aragón) Practice Questions - Aragón PAU Applied Mathematics for Social Sciences II Matemáticas Aplicadas a las Ciencias Sociales II Exam - PAU Applied Math ACS II (Aragón) Practice Questions - Aragón PAU Applied Mathematics for Social Sciences II Matemáticas Aplicadas a las Ciencias Sociales II Exam

Question 1

Given matrices A = [[2, -1], [3, 4]] and B = [[1, 5], [-2, 0]], calculate the matrix C = 2A - 3B.

[[1, -17], [12, 8]] [[1, -17], [0, 8]] [[7, 13], [0, 8]] [[1, 13], [12, 8]]

Correct Answer:

[[1, -17], [12, 8]]

Question 2

If matrix A has dimensions 2 x 3 and matrix B has dimensions 3 x 4, what are the dimensions of the product matrix C = A * B?

4 x 2 2 x 4 The product A * B is undefined. 3 x 3

Correct Answer:

2 x 4

Question 3

Calculate the matrix product A * B for A = [[1, 2], [0, -1]] and B = [[3, 1], [4, 2]].

[[3, 2], [0, -2]] [[7, 3], [-4, -2]] [[11, 5], [4, 2]] [[11, 5], [-4, -2]]

Correct Answer:

[[11, 5], [-4, -2]]

Question 4

Which of the following identities is true for any two invertible square matrices A and B of the same size?

(A * B)^T = A^T * B^T (A + B)^T = A^T * B^T det(A + B) = det(A) + det(B) (A * B)^T = B^T * A^T

Correct Answer:

(A * B)^T = B^T * A^T

Question 5

For what value of k is the matrix A = [[k, 4], [2, k-2]] singular (non-invertible)?

k = -2 and k = 0 k = -4 and k = 2 k = 4 and k = -2 k = 2 and k = 4

Correct Answer:

k = 4 and k = -2

Question 1

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Prepare with the PAU Applied Math ACS II (Aragón) Practice Questions - Aragón PAU Applied Mathematics for Social Sciences II Matemáticas Aplicadas a las Ciencias Sociales II Exam practice quiz. This question bank includes 100 questions covering matrix, find, function, integral, and calculate. Use it to review important concepts, identify knowledge gaps, and build confidence for the related exam, course, or assessment.

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PAU Applied Math ACS II (Aragón) Practice Questions - Aragón PAU Applied Mathematics for Social Sciences II Matemáticas Aplicadas a las Ciencias Sociales II Exam

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PAU Applied Math ACS II (Aragón) Practice Questions - Aragón PAU Applied Mathematics for Social Sciences II Matemáticas Aplicadas a las Ciencias Sociales II Exam

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