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3 years ago

CAN SOMEONE HELP WORK THIS OUT PLEASE

1 answer:

5 0

A = 1000(1 + r)^t
A ?
R interest rate 0.06
T time 2 years

A=1,000×(1+0.06)^(2)
A=1,123.6 round your answer to get
1124 which is option c

Hope it helps!

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Step-by-step explanation:

Since this question is lacking the matrix A, we will solve the question with the matrix

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So $\lambda=3, \lambda=2$

c) To find the bases of each eigenspace, we replace the value of lambda and solve the homogeneus system(equalized to zero) of the resultant matrix. We will illustrate the process with one eigen value and the other one is left as an exercise.

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For the case $\lambda=2$ , using the same process, we get the vector (1,1).

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$P=\left[\begin{matrix}2&1 \\ 1 & 1 \end{matrix}\right], D=\left[\begin{matrix}3&0 \\ 0 & 2 \end{matrix}\right]$

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$P=\left[\begin{matrix}1&2 \\ 1 & 1 \end{matrix}\right], D=\left[\begin{matrix}2&0 \\ 0 & 3 \end{matrix}\right]$

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