Mathematik-Online problems: Problem 22: Matrix with Parameter: Invertibility, Inverse, LSE

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	Mathematik-Online problems:
	Problem 22: Matrix with Parameter: Invertibility, Inverse, LSE

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Given the matrix

$\displaystyle A=\left(\begin{array}{rrr} c & 3 & 1 \\ 2 & -1 & 2c \\ 1 & 4 & c \end{array}\right).$

a): For which $c\in\mathbb{R}$ is invertible? Determine the inverses.
b): Determine for every $c\in\mathbb{R}$ the solution set of the system of equations , with $b=(5, 3, 6)^{\operatorname t}$ .

(Author: unknown)

see also:

automatisch erstellt am 29. 11. 2011