Category solved model papers

6.B] Show that the transformation defined by is linear. Answer:

6.C] Verify the Rank-Nullity Theorem for the transformation defined by Answer:

6.A] Show that the set is linearly dependent. Answer:

5.C] Find the matrix of the linear transformation such that Answer:

5.B] Determine whether the matrix is a linear combination of the matrices Answer:

5.A] Prove that the set is a subspace of . Answer:

6.C] Show that and are orthogonal in with. Answer:

6.B] Prove that the transformation is linear. Find and . Answer:

6.A] Show that lies in the span of and . Answer:

5.C] Find the kernel and range of the linear transformation Answer: