Answer:
given us,
n=4
here
3^-n+1-3^-n+2
3^-4+1-3^-4+2
-4+1-4+2
-5
Step-by-step explanation:
we can put value in n .we can power add and subtract then we can cut 3 then power we can add or subtract
Answer:
63.966
Step-by-step explanation:
Area of a kite is

where p and q are the diagonals.
The horinzontial diagonal is 8.
We need to find the vertical diagonal length.
The top triangle diagonal measure is




The bottom triangle diagonal measure is




Add the two diagonals.

Substitute this in for the formula

Which simplified gu
Ives us

Round if neededd.
Answer:
Only d) is false.
Step-by-step explanation:
Let
be the characteristic polynomial of B.
a) We use the rank-nullity theorem. First, note that 0 is an eigenvalue of algebraic multiplicity 1. The null space of B is equal to the eigenspace generated by 0. The dimension of this space is the geometric multiplicity of 0, which can't exceed the algebraic multiplicity. Then Nul(B)≤1. It can't happen that Nul(B)=0, because eigenspaces have positive dimension, therfore Nul(B)=1 and by the rank-nullity theorem, rank(B)=7-nul(B)=6 (B has size 7, see part e)
b) Remember that
. 0 is a root of p, so we have that
.
c) The matrix T must be a nxn matrix so that the product BTB is well defined. Therefore det(T) is defined and by part c) we have that det(BTB)=det(B)det(T)det(B)=0.
d) det(B)=0 by part c) so B is not invertible.
e) The degree of the characteristic polynomial p is equal to the size of the matrix B. Summing the multiplicities of each root, p has degree 7, therefore the size of B is n=7.
<h2><u>
Answer:</u></h2><h2><u>
</u>

<u>
</u></h2><h2><u>
</u></h2><h2><u>
Solution Steps:</u></h2>
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<h3>1.) Combine like terms:</h3>
<em> - We do this because we need 1 Number/Variable left over. </em>
<u>Equation at the end of Step 1:</u>
- <u />
<u />
<em />
<h3>2.) Add −17 and 31:</h3>
<em> - We do this because we can only have 1 number on each side of the equals. (This doesn't count towards the number connected to the variable.)</em>
<u>Equation at the end of Step 2:</u>
- <u />
<u />
<h3>3.) Subtract 14 from both sides:</h3>
Cancels Out
<em> - We do this because now we just need the 1 variable and the 1 number on opposite sides of the equal.</em>
<u>Equation at the end of Step 3:</u>
- <u />
<u />
<h3>4.) Multiply both sides by 2:</h3>
- <em />
<em> </em>×
<em />
- <em />
<em> </em>× 
<em> - We multiply by 2 since we have a fraction. In this case the reciprocal is 2 meaning we multiply by 2. </em>
<em></em>
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