QUESTION 23 Find the matrix of the linear transformation T:V - W relative to B and C. Suppose B = {b1,b2) is a basis for V and C= {C1, C2, C3) is a basis for W. Let T be defined by T( b 1) = 501 +6C2-503 Tb 2) +501 +12c2+7c3 O [5 6 -51 15 12 55] O 6 12 -5 -5) 10 -6 -12 50 |-5 12) QUESTION 4 The characteristic polynomial of a 5*5 matrix is given below. Find the eigenvalues and their multiplicities. 5 + 1744 - 7213 0 (multiplicity 3), 8 (multiplicity 1). 9 (multiplicity 1) 0 (multiplicity 1)-9 (multiplicity 1). -8 (multiplicity 1) 0 (multiplicity 11.8 (multiplicity 1). 9 (multiplicity 1) o (multiplicity 3). -9 (multiplicity 1). -8 (multiplicity 1) QUESTION 5 Find the eigenvalues of A, and find a basis for each eigenspace. A 5+81 .:-5-81, 3-5-8, 05+8{[:] e.{: 0-58[:] s-a{[:] 1:1 [:) -5-86 - Bi