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MAT1.002 - Linear Algebra (2025 - 2026)

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If , then the value of is:
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Let .

Compute .

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Let B be a 3x4 matrix, E be a 4x3 matrix. Determine the size of matrix BE?

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Given the sizes of matrices : and : , what are the sizes of matrices and respectively?
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What is the determinant of the matrix ?

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Let

where

is a real number. If is singular, then
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Given a matrix A 2 x 2 with . Compute .

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Find with .
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The set of all for which the vectors are linearly dependent is:
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Given two matrices and , under what conditions does exist?
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