Sample Solution from
Elementary Linear Algebra (Classic Version) (2nd Edition) (Pearson Modern Classics for Advanced Mathematics Series)
2nd Edition
ISBN: 9780134689470
Chapter 1
Problem 1RE
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To determine

Whether the statement “ If B is a 3×4 matrix, then its column are 1×3 vectors”.

Expert Solution

Answer

The statement is False_.

Explanation of Solution

Consider the given statement as “ If B is a 3×4 matrix, then its column are 1×3 vectors”.

Here, the order of the matrix is 3×4 and its general form is [a1b1c1d1a2b2c2d2a3b3c3d3].

From the matrix, it is noticed that the columns of 3×4  matrix are of the form [abc]3×1.

Hence, the order of the every column of the matrix of order 3×4 is 3×1.

Hence, the statement is False_.

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