11.7E: Kutatua Mifumo na Inverses (Mazoezi)

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Kwa mazoezi yafuatayo, tafuta inverse ya tumbo.

61. $\left[\begin{array}{rr}-0.2 & 1.4 \\ 1.2 & -0.4\end{array}\right]$

62. $\left[\begin{array}{rr}\frac{1}{2} & -\frac{1}{2} \\ -\frac{1}{4} & \frac{3}{4}\end{array}\right]$

63. $\left[\begin{array}{ccc}12 & 9 & -6 \\ -1 & 3 & 2 \\ -4 & -3 & 2\end{array}\right]$

64. $\left[\begin{array}{lll}2 & 1 & 3 \\ 1 & 2 & 3 \\ 3 & 2 & 1\end{array}\right]$

Kwa mazoezi yafuatayo, pata ufumbuzi kwa kompyuta inverse ya tumbo.

65.
$0.3 x-0.1 y=-10$
$-0.1 x+0.3 y=14$

66.
$0.4 x-0.2 y=-0.6$
$-0.1 x+0.05 y=0.3$

67.

\ kuanza {safu} {r}
4 x+3 y-3 z=-4.3\\
5 x-4 y-z=-6.1\\
x+z=-0.7
\ mwisho {safu}

$-2x - 3y _2 z=3$

$-x+2 y+4 z=-5$

$-2 y+5 z=-3$

Kwa mazoezi yafuatayo, weka mfumo wa equations kutatua kila tatizo. Tatua mfumo wa equations.

69. Wanafunzi waliombwa kuleta matunda yao favorite kwa darasa. $90 \%$ya matunda ilihusisha ndizi, apple, na machungwa. Ikiwa machungwa yalikuwa nusu maarufu kama ndizi na apples zilikuwa maarufu$5 \%$ zaidi kuliko ndizi, ni asilimia gani ya matunda ya kila mtu?

70. Sorority uliofanyika mauzo bake kuongeza fedha na kuuzwa brownies na cookies chocolate Chip. Wao bei brownies katika$\$ 2$ na cookies chocolate Chip katika$\$ 1 .$ Wao kukulia$\$ 250$ na kuuzwa 175 vitu. Ni brownies ngapi na vidakuzi ngapi viliuzwa? $?$