book Maths Puzzle Numerical Ability

Please explain compounding

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book Other Question

Let M_22 describe the vector space of 2 x 2 matices:
a) What is the dimention of M_22? Support your answer by givins a basis for M_22.

b) Let L:M_22-->M_22 be the linear operat simplify the following algebraic expression

Multiply: (3x + 3y)^2(2x + 3y)