Understanding Matrix Dimensions: Debunking the Myth of Six Rows in a 5×6 Matrix

Is the statement​ A 5×6 matrix has six​ rows true or​ false? Explain.

False, because a 5×6 matrix has five rows and six columns.

The statement A 5×6 matrix has six​ rows is false.

A 5×6 matrix means that it has 5 rows and 6 columns. Therefore, the number of rows is 5 and not 6.

The dimensions of a matrix are always expressed in the form of number of rows × number of columns. So, a 5×6 matrix has 5 rows and 6 columns but not the other way around.

Hence, the statement A 5×6 matrix has six​ rows is false.

More Answers:
Preserving Solutions of Linear Systems: The Effect of Elementary Row Operations on Augmented Matrices.
False statement: Two matrices are row equivalent if they have the same number of rows. Understanding Matrix Row Equivalence and the Misconception about the Number of Rows
Understanding the Significance of Existence and Uniqueness in Solving Linear Systems

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