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kumpel [21]
3 years ago
9

What is an idempotent matrix?

Mathematics
2 answers:
Yuki888 [10]3 years ago
7 0
An\ idempotent\ matrix\ is\ a\ matrix\ n\times n\ (square\ matrix\ A)\ which:A^2=A\\\\Example:\\  A=\left[\begin{array}{ccc}2&-1\\2&-1\end{array}\right]\\A^2=\left[\begin{array}{ccc}2&-1\\2&-1\end{array}\right]\cdot\left[\begin{array}{ccc}2&-1\\2&-1\end{array}\right]=\left[\begin{array}{ccc}2\cdot2-1\cdot2&2\cdot(-1)-1\cdot(-1)\\2\cdot2-1\cdot2&2\cdot(-1)-1\cdot(-1)\end{array}\right]\\=  \left[\begin{array}{ccc}4-2&-2+1\\4-2&-2+1\end{array}\right] =  \left[\begin{array}{ccc}2&-1\\2&-1\end{array}\right] =A


Fofino [41]3 years ago
7 0
A matrix E satisfying the equation E2 = E.
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i have 17 coins. N of them are nickels and the rest are dimes. write an expression in two different ways for the amount of money
sergiy2304 [10]

Answer:

0.05N - 0.1N + 1.7 (in dollars

1.7 - 0.05N (in dollars)

Step-by-step explanation:

Given :

Total number of coins = 17

Number of nickels = N

Number of dimes = 17 - N

1 nickel = 5 cent = $0.05

1 dime = 10 cent = $0.1

The amount of money :

(Value of nickel * number of nickels) + (value of dime * number of dime)

(0.05 * N) + (0.1 * (17-N))

0.05N + 1.7 - 0.1N

0.05N - 0.1N + 1.7

-0.05N + 1.7 = 1.7 - 0.05N

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3 years ago
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4 years ago
Explain themattribute that makes a rectangle a special parallelogram
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Please my last question I need help<br> Please
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Answer:

to graph this, you will need to plot points on the graph

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4 years ago
What is question is asking
Pachacha [2.7K]
A) 72/910
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4 years ago
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