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MAT1.002 - Linear Algebra (2025 - 2026)

MAT1.002 - Linear Algebra (2025 - 2026)

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Which of the following matrices is linearly dependent?

with

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Compute

-6

❌

-2

✅

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In the solution of simultaneous equations using the Gauss elimination method, triangularization leads to:

Singular matrix

Upper triangular matrix

Diagonal matrix

Lower triangular matrix

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Consider the following two subsets of vector space :

is a subspace of but not .

Neither nor is a subspace of .

Both and are subspaces of .

is a subspace of but not .

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Giving the following matrix

The nullity of the solution space of is

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What type of matrix is ? (Choose the best answer)

Let Find A.

None of the other answers is true

❌

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Two midterms and a final exam determine the final grade in a course at a liberal arts college. The matrices below show the grades for six students and two possible grading systems.

How many students received an “A” in each grading system? (Assume 85 or greater is an “A”)

G1 has 2 and G2 has 2

❌

None of the other answers is true

❌

G1 has 4 and G2 has 4

✅

G1 has 3 and G2 has 3

❌

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Given the following matrix:

Find all eigenvalues of the matrix