Let L:R3→R3 denote the linear transformation defined by: L(c1u1+c2u2+c3u3)=(c1+c2+c3)u1+(2c1+c3)u2−(2c2+c3)u3, where u1=⎝⎛111⎠⎞,u2=⎝⎛110⎠⎞,u3=⎝⎛100⎠⎞ 1. Find the matrix of L with respect to the basis given by (u1,u2,u3) (12 points) 2. Write the vector v=⎝⎛752⎠⎞ as a lineat combination of the vectors u1,u2 and u3. (12 points) 3. Determine L(v).
