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Chapter 11: Q. 1 (page 755)

A matrix that has the same number of rows as columns is
called a(n)_______ matrix.

Short Answer

Expert verified

Such matrix is a square matrix.

Step by step solution

01

Step 1. Given Information

A matrix with the same row as a column.

02

Step 2. Explanation

When no of rows equals to no of columns such a matrix is square matrix.

$f o r e x a m p l e [\begin{matrix} 5 & 2 & 1 \\ 0 & 2 & - 7 \\ - 4 & 3 & 8 \end{matrix}] n o o f r o w s = 3 n o o f c o l u m n s = 3$

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Most popular questions from this chapter

In Problems 5–24, graph each equation of the system. Then solve the system to find the points of intersection.

$y = \sqrt{x}; y = 2 - x$

Solve each system of equations. If the system has no solution, say that it is inconsistent.

$\{\begin{matrix} x - y = 5 \\ - 3 x + 3 y = 2 \end{matrix}$

In Problems 5–24, graph each equation of the system. Then solve the system to find the points of intersection.

$x^{2} + y^{2} = 10; y = x + 2$

Verify that the values of the variables listed are solutions of the system of equations.

$\{\begin{matrix} \begin{array}{rcl} 4 x - 5 z & = & 6 \\ 5 y - z & = & - 17 \end{array} \\ - x - 6 y + 5 z = 24 \end{matrix} x = 4, y = - 3, z = 2; (4, - 3, 2)$

In Problems 35–42, graph each system of inequalities by hand.

$\{\begin{cases} x^{2} + y^{2} \leq 9 \\ x + y \geq 3 \end{cases}$

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