\(A=[a_{ij}]_{m\times n}\) is a square matrix if:

Question

Let the foot of the perpendicular from the point \( (1, 2, 4) \) on the line \( \frac{x+2}{4} = \frac{y-1}{2} = \frac{z+1}{3} \) be \( P \). Then the distance of \( P \) from the plane \( 3x + 4y + 12z + 23 = 0 \) is:

Answer 1

Step 1: Checking by example:
A \(2\times3\) matrix (\(m=2,n=3\)) is rectangular, not square; a \(3\times3\) matrix (\(m=n=3\)) is square.

Final Answer:
Square matrices always satisfy \(\boxed{m=n}\).

\(A=[a_{ij}]_{m\times n}\) is a square matrix if:

Show Hint

The Correct Option is C

Solution and Explanation

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