exam Maths Puzzle Numerical Ability

Please explain how to do this.

sqrt75 - sqrt48

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exam Other Question

2=a
7=b
9=c

express log(42) using the given letters. Let v1= [3,2] and v2= [2,1]

Let T: R^2-->R^2 be the linear transformation satisfying

T(v1)=[-19,6] and T(v2)=[-12,6]

Find the image of an arbitrary vector: [x,y].

T