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Solve the equation for x,y,z and t if 2[ {matrix} x & z y &

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Solve the equation for $x, y, z$ and $t$ if $2 [x y z t] + 3 [10 - 1 2] = 3 [3456]$

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Solve the equation for

x, y, z

and

t

2 [x y z t] + 3 [10 - 1 2] = 3 [3456]

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Text solutionVerified

2 [x y z t] + 3 [10 - 1 2] = 3 [3456]

\Rightarrow [2 x 2 y 2 z 2 t] + [30 - 3 6] = [9121518]

\Rightarrow [2 x + 3 2 y 2 z - 3 2 t + 6] = [9121518]

Comparing the corresponding elements of these two matrices, we get:

2 x + 3 = 9 \Rightarrow 2 x = 6 \Rightarrow x = 3

2 y = 12 \Rightarrow y = 6

2 z - 3 = 15 \Rightarrow 2 z = 18 \Rightarrow z = 9

2 t + 6 = 18 \Rightarrow 2 t = 12 t = 6

∴ x = 3, y = 6, z = 9

and

t = 6

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Question Text	Solve the equation for $x, y, z$ and $t$ if $2 [x y z t] + 3 [10 - 1 2] = 3 [3456]$
Answer Type	Text solution:1
Upvotes	150