Question

83.016. My Notes Ask Your Ta Let A be a nonzero 3 x 5 matrix. (a) What is the maximum rank that A can have? (b) If rank(A B) 2, then for what value(s) of rank(A) is the system AX - B, B as a comma-separated list.) o, inconsistent? (Enter your answers For what value(s) of rank(A) is the system consistent? (Enter your answers as a comma-separated list.) (e) If rank(A) 2, then how many parameters does the solution of the system Ax -O have?

Answer 1

$\mbox{The rank of a matrix A is defined to be the number of non-zero rows in the reduced row echelon }\\ \mbox{form of A .}\\ \mbox{The detailed solution is attached below.}$