book Maths Puzzle Numerical Ability

-12(5x)+3(-7x)-x

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My professor asked me to think about a real life situation that follows a linear equation, with the independent variable being years.What would the slope tell you about future year Suppose M is an invertible matrix and B=MA is an equation of matrices. Prove N(B)=N(A) and R(B^T)=R(A^T).