Question

7. Let b 13 and 121 B = {bj, b2}. Use the figure to estimate (wls and x 8 Confirm your estimate of [x] by using it and {b, bə

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Answer #1

From the figure we see that,

w = 261 – bz

and, = نت |

Therefore, [W]B = (2, -1) and [r]B = ။ ငယ် .

Now = نت | gives,

ܟ |ܒܬ + ܂ ܝ

i.e., [9/2 -1/2 =

i.e., (9/2) - (1/2) 0+1

i.e., 8/2 =

i.e., x=\begin{bmatrix} 4\\ 1 \end{bmatrix}

Therefore, our estimate is correct.

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