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UCB - MCD4500 Engineering Mathematics - Trimester 2 - 2025

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Find the determinant of the matrix .

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The linear transformation represented by a matrix transforms the unit square into a parallelogram with vertices , and . What is the magnitude of the determinant of ?

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What does it mean when a matrix is invertible? (Choose all correct answers)

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You have attended  2 lectures in MCD4500, Week 1.

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The projection of the vector in the direction of the vector  is

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Let the points be defined as  , and . The scalar resolute of   on is equal to 

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If , then the angle between vectors and is equal to

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Let and . Then is equal to 

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If two vectors are parallel, their dot product is non-zero. 

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