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If 3x+2y=I and 2x-y=O, where I and O are unit and null matrice

Question

If $3 x + 2 y = I$ and $2 x - y = O$ , where $I$ and $O$ are unit and null matrices of order $3$ respectively, then

x = \frac{1}{7}, y = \frac{2}{7}

x = \frac{2}{7}, y = \frac{1}{7}

x = (\frac{1}{7}) I, y = (\frac{2}{7}) I

x = (\frac{2}{7}) I, y = (\frac{1}{7}) I

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Asher Discussed

3 x + 2 y = I

and

2 x - y = O

, where

I

and

O

are unit and null matrices of order

3

respectively, then

13 mins ago

Discuss this question LIVE

13 mins ago

Text solutionVerified

We have,

3 x + 2 y = I

...(i)

2 x - y = O

....(ii)
On multiplying equation (ii) by

2

, we get

4 x - 2 y = 2 \cdot O = O

...(iii)
On adding equations (i) and (iii), we get

3 x + 2 y = I

4 x - 2 y = O

____________

7 x = I

\Rightarrow x = \frac{I}{7}

\frac{1}{7} I

From equation (i), we get

2 y = I - \frac{3}{7} I = \frac{4}{7} I

\Rightarrow y = \frac{2}{7} I

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Question Text	If $3 x + 2 y = I$ and $2 x - y = O$ , where $I$ and $O$ are unit and null matrices of order $3$ respectively, then
Answer Type	Text solution:1
Upvotes	150