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In the context of identifying echelon forms, which characteristic is used to identify a matrix as being in row echelon form (REF)?
In the context of identifying echelon forms, which characteristic is used to identify a matrix as being in row echelon form (REF)?
- Zero rows
- Leading ones
- Staircase (correct)
- Columns with leading ones
When identifying a matrix as in reduced row echelon form (RREF), which characteristic is important?
When identifying a matrix as in reduced row echelon form (RREF), which characteristic is important?
- Columns with leading ones
- Staircase
- Leading ones (correct)
- Zero rows
Which of the following is a characteristic used to identify a matrix as neither in REF nor RREF?
Which of the following is a characteristic used to identify a matrix as neither in REF nor RREF?
- Zero rows (correct)
- Staircase
- Leading ones
- Columns with leading ones
What characteristic is used to determine if a matrix has columns with leading ones?
What characteristic is used to determine if a matrix has columns with leading ones?
When identifying a matrix as neither in REF nor RREF, which characteristic is important?
When identifying a matrix as neither in REF nor RREF, which characteristic is important?
Match the following identifiers with their corresponding echelon form:
Match the following identifiers with their corresponding echelon form:
When performing matrix addition, which of the following properties holds true?
When performing matrix addition, which of the following properties holds true?
Which property of scalar multiplication is demonstrated by the equation $r(A + B) = rA + rB$?
Which property of scalar multiplication is demonstrated by the equation $r(A + B) = rA + rB$?
If matrix $A$ has dimensions $m \times n$, what are the dimensions of the zero matrix $O$?
If matrix $A$ has dimensions $m \times n$, what are the dimensions of the zero matrix $O$?
Which property is illustrated by the equation $r(sA) = (rs)A$ in scalar multiplication?
Which property is illustrated by the equation $r(sA) = (rs)A$ in scalar multiplication?
For any matrix $A$, what is the result of the operation $A - A$?
For any matrix $A$, what is the result of the operation $A - A$?
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