Given the following matrices A and B, find a matrix C in M3.3 so that {A, B, C} is linearly independent and a non-zero matrix D in M3.3 so that {A, B, D} is linearly dependent: 10 -10 -6 7 -1 -3 | A = -10 -8 2 B = -3 -2 7 | 8 10 -6 -1 2 7 0 0 0 0 0 0 C = 0 0 0 D = 0 0 0 ||

Consider the matrix A = Calculate a22 8 5 d - ( ) - ( 2 ) 766 b fa 4 6 8 h с e Calculate 932 =

For matrices A, B, and C, if A is invertible and AB-C, then True False B = CA-¹.

Consider the following matrix: 10 A = = 10 1 0 1 1 Explain why the columns of A are linearly dependent, but any choice of two columns from A will be linearly independent.