Suppose a 5x8 matrix A has two pivot columns. Is Col A =R2? Is Nul A=R6? Explain your answers. Is Col A =R²? OA. No, the column space of A is not R2. Since A has two pivot columns, dim Col A=3. Thus, Col A is equal to R³ OB. Yes. Since A has two pivot columns, dim Col A =2. Thus, Col A is a two-dimensional subspace of R2, so Col A is equal to R² OC. No, Col A is not R2. Since A has two pivot columns, dim Col A=6. Thus, Col A is equal to R6. O D. No. Since A has two pivot columns, dim Col A = 2. But Col A is a two-dimensional subspace of R5, so Col A is not equal to R². Is Nul A = R62 O A. No, Nul A is not equal to R6. Since A has two pivot columns, dim Nul A = 2. Thus, Nul A is equal to R². B. No, Nul A is not equal to R6. It is true that dim Nul A = 6, but Nul A is a subspace of R³. O C. No, Nul A is equal to R6. Since A has two pivot columns, dim Nul A = 3. Thus, Nul A is equal to R³. OD. Yes, Nul A is equal to R6. Since A has two pivot columns, dim Nul A = 6 Thus, Nul A is equal to R6

Can each vector in R* be written as a linear combination of the columns of the matrix A? Do the columns of A span R*? 3 1 7 - 12 - 1 - 1 A = - 4 - 2 2 0 - 10 20 0 2 - 1 Can each vector in R be written as a linear combination of the columns of the matrix A? Select the correct choice below and fill in the answer box to complete your choice, (Type an integer or decimal for each matrix element.) O A. No, because the reduced echelon form of A is O B. Yes, because the reduced echelon form of A is Help me solve this View an example Get more help - Clear all Check answer 82 9+ G 99+ W ENG DELL DII F3 prt sc F1 F4 FS beme end F7 F9 insert dele F10 F11 F12 %23 %2$ & 2 3 4 5 6 8

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