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Linear Algebra - MATH100 Revision Exercises - Resources ... - Free Printable

Linear Algebra - MATH100 Revision Exercises - Resources ...

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- Exercise One:
- (a) A is 3×2, B is 1×2
- (b) Bᵀ = [1; 0] (2×1 matrix)
- (c) ABᵀ = [1; -2; 3] (first column of A)
- (d) Not possible because inner dimensions don't match (A is 3×2, B is 1×2)

- Exercise Two:
- (a) A is 3×2, C is 2×1
- (b) AC = [-4; 5; -6] (second column of A)
- (c) Not possible to calculate CA because inner dimensions don't match (C is 2×1, A is 3×2)

- Exercise Three:
- (a) B is 1×2, C is 2×1
- (b) BC = [0] (1×1 matrix)
- (c) CB = [0 0; 1 0] (2×2 matrix)
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