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bottom one is choices. What is the least number of rows of a matrix that has ran

ID: 2882516 • Letter: B

Question

bottom one is choices.

What is the least number of rows of a matrix that has rank 3 and has twice as many rows as Choose columns? A zero matrix is not in REF True or False? Choose The RREF of a matrix is unique. True or False? Choose Matrix A is changed to matrix B by adding 3/8 times row 2 to row 5 Choose Which elementary row operation changes B back into A Linear system A is changed to linear system B by multiplying equation 5 of A by-2/7. Which Choose elementary operation changes B back into A? It is possible for the REF of a non-zero matrix to be the zero matrix. True or False? Choose A basic variable of a linear system is one that corresponds to a pivot column of the augmented Choose matrix. True or false? Every elementary row operation is reversible. True or False? Choose Replacing equation 2 of a linear system by 3 times equation 2 plus equation 1 is a valid Choose elementary operation. True or False? Replacing row 2 of a matrix A by 3 times row 2 plus row 1 is a valid row operation. True or False? Choose Elementary row operations on the augmented matrix of a linear system never change the solution Choose set of the system True or False Performing elementary operations on a linear system can change the solution set of the system Choose True or false? Whenever a system has free variables, the system has infinitely many solutions True or False? Choose A non-zero matrix can have more than one RREF True or False? Choose Multiplying an equation of a linear system by 0 is an elementary operation on the system. True or Choose false? What is the rank of a zero matrix with 4 rows and 3 columns? Choose A basic variable of a linear system is a variable that corresponds to a pivot column of the Choose coefficient matrix. True or False?

Explanation / Answer

1.The least number of rows = 3

2.A zero matrix is not in REF = True

3.The RREF of a matrix is unique = True

4.Add 3/8 times row 2 of B to row 5 of B

5.Multiply Equation 5 by -7/2

6.False

7.False

8.True

9.True

10.True

11.False

12.False

13.True

14.False

15.False

16. Rank=3

17.True