The rank of a matrix is always less than or equal to:a.The maximum element in the matrixb.The sum of the elements in the matrixc.The minimum element in the matrixd.The smaller of the number of rows and columns of the matrix

what does the rank of a matrix tell us

Matrix A and B are given below:A =1 −3 4 −1 9−2 6 −6 −1 −10−3 9 −6 −6 −33 −9 4 9 0 and B =1 −3 0 5 −70 0 2 −3 80 0 0 0 50 0 0 0 0Assume that the matrix A is row equivalent to B. Find(a) (3 pts) rank A.

In a finite matrix, the number of rows is also referred to as:OPTIONS Dimensions Columns Rank Elements

Consider the 4\times 3 matrix \boldsymbol{A} defined by A=[100 220 -11a 01b] where a and b are real numbers. What is the smallest value of the rank of \boldsymbol{A} that can be achieved by choosing a and b?

Use the fact that matrices A and B are row-equivalent.A = −2 −5 8 0 −17 1 3 −5 1 5−5 −9 13 7 −671 7 −13 5 −3B = 1 0 1 0 1 0 1 −2 0 30 0 0 1 −50 0 0 0 0(a) Find the rank and nullity of A.rank nullity