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\text { Let } B=\left[\begin{array}{ll} 2 & 4 \\ 2 & 7 \end{array}\right] (a) Reduce B to the identity matrix by elementary row operations (b) Using your solution to (a),

write an expression for B-1 as a product of elementary matrices. [You do not need to actually calculate B-1.) (c) Using your solution to (b), write an expression for B as a product of elementary matrices.

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