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Chapter 11: Q. 6 (page 755)

If a matrix A has no inverse, it is called .

Short Answer

Expert verified

Singular matrix.

Step by step solution

Step 1. Given Information

A matrix A with no inverse.

Step 2. Explanation

$A = [\begin{matrix} 4 & 6 \\ 2 & 3 \end{matrix}] |A| = 4 (3) - 6 (2) = 0 A l s o, A^{- 1} = \frac{a d j A}{|A|} w h i c h d o e s n o t e x i s t .$

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Most popular questions from this chapter

Solve each system of equations. If the system has no solution, say that it is inconsistent.
$\{\begin{matrix} x + 3 y = 5 \\ 2 x - 3 y = - 8 \end{matrix}$

Solve each system of equations. If the system has no solution, say that it is inconsistent.
$\{\begin{cases} 3 x - 6 y = 2 \\ 5 x + 4 y = 1 \end{cases}$

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

$x^{2} + y^{2} = 16; x^{2} - 2 y = 8$

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, use the division algorithm to rewrite each improper fraction as the sum of a quotient and proper fraction. Find the partial fraction decomposition of the proper fraction. Finally, express the improper fraction as the sum of a quotient and the partial fraction decomposition.

$\frac{x^{4} + x^{3} - x + 2}{x^{2} - 2 x + 1}$

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If a matrix A has no inverse, it is called .

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Explanation

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Most popular questions from this chapter

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