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If A is a 6 x 3 matrix, what is the largest possible rank of A? If A is a 3 x 6 matrix, what

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If A is a 6 x 3 matrix, what is the largest possible rank of A? If A is a 3 x 6 matrix, what is the largest possible rank of A? Explain your answers. 1 . . . . Select the correct choice below and fill in the answer box(es) to complete your choice. O A. The rank of A is equal to the number of columns of A. Since there are 3 columns in a 6 x 3 matrix, the largest possible rank of a 6 x 3 matrix is Since there are 6 columns in a 3 x 6 matrix, the largest possible rank of a 3 x 6 matrix is O B. The rank of A is equal to the number of non-pivot columns in A. Since there are more rows than columns in a 6 x 3 matrix, the rank of a 6 x 3 matrix must be equal to Since there are 3 rows in a 3 x 6 matrix, there are a maximum of 3 pivot positions in A. Thus, there are 3 non-pivot columns. Therefore, the largest possible rank of a 3 x 6 matrix is O C. The rank of A is equal to the number of pivot positions in A. Since there are only 3 columns in a 6 x3 matrix, and there are only 3 rows in a 3 x 6 matrix, there can be at most pivot positions for either matrix. Therefore, the largest possible rank of either matrix is

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