MATH 18 Midterm 1 Review

If a linear system has two different solutions, it must have infinitely many solutions.

• True

• False

Tags

CCSS.8.EE.C.8B

In row reduction, we can multiply a row by any real number.

• True

• False

If a linear system has no free variables, then it has an unique solution

• True

• False

Tags

CCSS.8.EE.C.8B

If a matrix is in reduced row echelon form, then it is also in row echelon form.

• True

• False

Every matrix has a unique row echelon form.

• True

• False

A homogeneous linear system is always consistent

• True

• False

Tags

CCSS.8.EE.C.8B

If a system Ax=b has more than one solution, then the system Ax=0 also has more than one solution.

• True

• False

Tags

CCSS.8.EE.C.8B

The span of any two vectors in R² is R².

• True

• False

Tags

CCSS.HSN.VM.A.1

Let a, b, c, d be vectors in Rn. If {a, b, c, d} is linearly dependent, then {a, b, c} is also linearly dependent.

• True

• False

If {u, v, w} is linearly independent, then u, v, w are not in R².

• True

• False