Let I M(K) be the 2 2 identity matrix, where K is a field. For any...

Transcribed Image Text:

Let I M(K) be the 2 2 identity matrix, where K is a field. For any A M2(K), let V = 12, V = A, V3 = A and regard them as elements of V = M(K) as a vector space. 1 (i) Show that u, V2, V3 are linearly dependent as elements of V. Let K =R and A = 1 0 Let I M(K) be the 2 2 identity matrix, where K is a field. For any A M2(K), let V = 12, V = A, V3 = A and regard them as elements of V = M(K) as a vector space. 1 (i) Show that u, V2, V3 are linearly dependent as elements of V. Let K =R and A = 1 0