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Nady [450]
2 years ago
12

Type the correct answer in each box. find the cofactors of each entry in the first row of the matrix . ac11 = ac12 = ac13 =

Mathematics
1 answer:
natima [27]2 years ago
4 0

The cofactors of each entry in the first row of the matrix are

Ac_11 = -13

Ac_12 = 44

Ac_13 = 27

We have to determine the cofactors of each entry in the first row of the matrix.

Therefore the cofactors of each entry in the first row of the matrix are

Ac_11 = -13

Ac_12 = 44

Ac_13 = 27.

A set of numbers is arranged in rows and columns so as to form a rectangular array. The numbers are called the elements, or entries, of the matrix.

Machines had to find a way to cut themselves off from the truth in order to understand humans. Neo's sole purpose in the Matrix is ​​to prevent machines from evolving into dinosaurs.

Learn more about the matrix at

brainly.com/question/1821869

#SPJ4

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Given the sequence, 26, 13, 6.5, ..... find a) the 10th term and b) the sum of the first 18 terms
Hunter-Best [27]

Answer:

a) 10th term is 0.051

b) The sum of first 18 terms of given sequence is 51.48

Step-by-step explanation:

We are given the sequence 26, 13, 6.5, ..... we need to find

a) 10th term

b) Sum of first 18 terms

Before solving we need to determine if the sequence is arithmetic or geometric

The sequence is arithmetic if common difference d is same.

The sequence is geometric if common ratio r is same.

Finding common difference d: 13-26 = -13, 6.5-13= -6.5

As common difference is not same so, the sequence is not arithmetic.

Finding common ratio r : 13/26 =0.5, 6.5/13= 0.5

As common ratio is same so, the sequence is geometric.

a) Finding common difference: 13-26 = -13, 6.5-13= -6.5

As common difference is not same so, the sequence is not arithmetic.

a) 10th term

The formula to find 10th term is: a_n=a_1r^{n-1}

We have a₁=26 and r = 0.5 n=10

a_n=a_1r^{n-1}\\a_{10}=26(0.5)^{10-1}\\a_{10}=26(0.5)^{9}\\a_{10}=0.051

So, 10th term is 0.051

b) Sum of first 18 terms

The formula to find sum of geometric series is: S_n=\frac{a(1-r^n)}{1-r}

where a= 1st term, r = common ratio and n= number of terms

In the given sequence we have

a=26, r=0.5 and n=18

Finding sum of first 18 terms

S_n=\frac{a(1-r^n)}{1-r}\\S_{18}=\frac{26(1-(0.5)^{18}}{1-0.5}\\S_{18}=\frac{26(0.99)}{0.5}\\S_{18}=\frac{25.74}{0.5}\\S_{18}=51.48

So, sum of first 18 terms of given sequence is 51.48

6 0
3 years ago
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