Let M be a 7 x 7 matrix.a. What is the maximum number of pivot positions M can have? 7Answer the rest of the questions assuming M has less than the maximum number of pivots.b. Are the rows of M linearly independent?NoYesO Need more information (could be either)c. Are the columns of M linearly independent?NoYesNeed more information (could be either)d. How many solutions does Mv 0 have?ZeroOne=XInfinitely manyNeed more information (could be more than one of these)Xe. How many solutions does Mv = b have for each b?ZeroOneInfinitely manyNeed more information (could be more than one of these)

M is a matrixIf a column is pivot in a matrix, its linearly independent column.

BL I be a r IX. a. What is the maximum number of pivot positions M can have? 7 Answer the rest of the questions assuming M has less than the maximum number of pivot b. Are the rows of M linearly independent? O No Yes ONeed more information (could be either) c. Are the columns of M linearly independent? O No Yes ONeed more information (could be either) d. How many solutions does Mv = 0 have? Zero One