Linear Algebra - MATH 2318 - Exam 1
Review Questions And Answers Latest
Update
What makes a system of linear equations consistent? - - -
correct answer ✅A system of linear equations is consistent if it has
either one solution or infinitely many solutions.
What makes a system of linear equations inconsistent? - - -
correct answer ✅A system of linear equations is inconsistent if is
has no solution.
A rectangular matrix is in Echelon Form (Row Echelon Form) if it has
the following three properties: - - -
correct answer ✅1. All non-zero rows are above any rows of all
zeros.
2. Each leading entry of a row is in a column to the right of the
leading entry of the row above it.
3. All entries in a column below a leading entry are zeros.
If a matrix in echelon form satisfies the following additional
conditionals, then it is in Reduced Echelon Form (Reduced Row
Echelon Form): - - -
correct answer ✅1. The leading entry in each non-zero row is 1.
2. Each leading 1 is the only non-zero entry in its column.
Review Questions And Answers Latest
Update
What makes a system of linear equations consistent? - - -
correct answer ✅A system of linear equations is consistent if it has
either one solution or infinitely many solutions.
What makes a system of linear equations inconsistent? - - -
correct answer ✅A system of linear equations is inconsistent if is
has no solution.
A rectangular matrix is in Echelon Form (Row Echelon Form) if it has
the following three properties: - - -
correct answer ✅1. All non-zero rows are above any rows of all
zeros.
2. Each leading entry of a row is in a column to the right of the
leading entry of the row above it.
3. All entries in a column below a leading entry are zeros.
If a matrix in echelon form satisfies the following additional
conditionals, then it is in Reduced Echelon Form (Reduced Row
Echelon Form): - - -
correct answer ✅1. The leading entry in each non-zero row is 1.
2. Each leading 1 is the only non-zero entry in its column.
