Assignment 1 （10月12日截止）

news2024/10/11 20:09:21

Section 1.1

T12

😉 $S o l v e 👇$
$x$ _$1$- $3 x$ _$2$ $+ 4 x$ _$3$ $= - 4$
$3 x$ _$1$ $- 7 x$ _$2$ $+ 7 x$ _$3$ $= - 8$
$- 4 x$ _$1$ $+ 6 x$ _$2$ $- x$ _$3$ $= 7$
在这里插入图片描述

$😱 n o S o l u t i o n!$

T16

😉 $S o l v e 👇$
$x$ _$1$ $- 2 x$ _$4$ $= - 3$
$2 x$ _$2$ $+ 2 x$ _$3$ $= 0$
$x$ _$3$ $+ 3 x$ _$4$ $= 1$
$- 2 x$ _$1$ $+ 3 x$ _$2$ $+ 2 x$ _$3$ $+ x$ _$4$ $= 5$ 在这里插入图片描述

T20

🤔 $Wha t$ $c an$ $h$ $b e ?$
$\left[ \begin{matrix} 1 & h & -3\\ -2 & 4 &6 \\ \end{matrix} \right]$ 在这里插入图片描述

T28

$a \neq = 0 ， 🤔 S a y A b o u t A BC an d D$
$a x$ _$1$ $+ b x$ _$2$ $= f$
$c x$ _$1$ $+ d x$ _$2$ $= g$

$A NS$
$a d \neq = b c$
$P roo f :$
The consistency of a linear system of equations depends on the existence and uniqueness of its solutions.
If the system has a unique solution, then the system is considered consistent; if the system has no solution or infinitely many solutions, then the system is considered inconsistent.

T30

$🙃 T r an s f or m M a t r i x 1👉 M a t r i x 2$
$\left[ \begin{matrix} 1 & 3 & -4\\ 0 & -2 & 6\\ 0 & -5 & 9\\ \end{matrix} \right]$
👇and👆
$\left[ \begin{matrix} 1 & 3 & -4\\ 0 & 1 & -3\\ 0 & -5 & 9\\ \end{matrix} \right]$
$A NS$
M1’s Row2*(-1/2) ->M2
M2’s Row2*(-2) ->M1