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

(Author: unknown)

see also:


[Solutions]

  automatisch erstellt am 29. 11. 2011