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aleksklad [387]
3 years ago
8

The original purchase price of a car is 16,000, Each year, its value depreciates by 10%. Three years after its purchase, what is

the value of the car?
16
11,664
34,587.23
12,960
Mathematics
1 answer:
Tju [1.3M]3 years ago
3 0
The answer is 11,664
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Determine whether the following are subspaces of R2×2 : (a) Thesetofall2×2diagonalmatrices (b) The set of all 2 × 2 triangular m
Mrrafil [7]

A vector space V is a subspace of a vector space W if

  • V is non-empty,
  • for any two vectors v_1,v_2\inV we have v_1+v_2\in V, and
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It's easy to show the first condition is met by all the sets in parts (a-g).

(a) is a subspace of \Bbb R^{2\times2} because adding any 2x2 diagonal matrices together, or multiplying one by some scalar, gives another diagonal matrix.

(b) and (c) are also subspaces for the same reasons.

(d) is not a subspace because \Bbb R^{2\times2} because this set of matrices does not contain the zero matrix.

(e), however, is a subspace. Any linear combination of matrices in this set always yields a matrix with 0 in row 1, column 1 entry.

(f) is a subspace. A symmetric matrix is one of the form

\begin{bmatrix}a&b\\b&c\end{bmatrix}

Adding two symmetric matrices gives another symmetric matrix:

\begin{bmatrix}a_1&b_1\\b_1&c_1\end{bmatrix}+\begin{bmatrix}a_2&b_2\\b_2&c_2\end{bmatrix}=\begin{bmatrix}a_1+a_2&b_1+b_2\\b_1+b_2&c_1+c_2\end{bmatrix}

(g) is not a subspace. Consider the matrices

\begin{bmatrix}1&0\\0&0\end{bmatrix},\begin{bmatrix}0&0\\0&1\end{bmatrix}

Both matrices have determinant 0, but their sum is the identity matrix with determinant 1.

4 0
3 years ago
Which is the equation for the statement: The quotient of 1.2 added to a number and 5 is 3.6?
ANEK [815]
The answer is \frac{x+1.2}{5} =3.6
or (x + 1.2) ÷ 5 = 3.6
6 0
2 years ago
16 times 9 plss answer this questoin
damaskus [11]

The product of multiplication of 16 × 9 gives us; 144

<h3>Multiplication</h3>

We want to find the product of 16 and 9.

Now, to solve this we can use a little illustration for example if I have a basket of oranges and I want to given 9 people each 16 oranges, it means that the total number of oranges I will give out is; 16 × 9 = 144

Thus, our question answer is 16 × 9 = 144

Read more on multiplication at; brainly.com/question/2475734

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Answer:

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