Answer:
1) The determinant = 65
2) The determinant = 152
Step-by-step explanation:
Let us show how to find the determinant of a matrix
You can find the determinant of this Matrix ![\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&m&n\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da%26b%26c%5C%5Cd%26e%26f%5C%5Cg%26m%26n%5Cend%7Barray%7D%5Cright%5D)
by using this rule
Determinant = a(en - fm) - b(dn - fg) + c(dm - eg)
Let us use this rule with the given matrices
1)
![\left[\begin{array}{ccc}1&-1&3\\2&5&0\\-3&1&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-1%263%5C%5C2%265%260%5C%5C-3%261%262%5Cend%7Barray%7D%5Cright%5D)
The determinand = 1[(5)(2) - (0)(1)] - (-1)[(2)(2) - (0)(-3)] + 3[(2)(1) - 5(-3)]
= 1[10 - 0] - (-1)[4 - 0] + 3[2 - (-15)]
= 1[10] + 1[4] + 3[2+15]
= 10 + 4 + 3[17]
= 10 + 4 + 51
= 65
The determinant = 65
Let us do the second one
2)
![\left[\begin{array}{ccc}-1&-8&2\\9&1&0\\4&1&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%26-8%262%5C%5C9%261%260%5C%5C4%261%262%5Cend%7Barray%7D%5Cright%5D)
The determinand = -1[(1)(2) - (0)(1)] - (-8)[(9)(2) - (0)(4)] + 2[(9)(1) - 1(4)]
= -1[2 - 0] - (-8)[18 - 0] + 2[9 - 4]
= -1[2] + 8[18] + 2[5]
= -2 + 144 + 10
= 152
The determinant = 152
Answer:
I am sorry I really don't know I will try to help if I get it sorry :((
Step-by-step explanation:
<em>OB = 3 cm</em>
- Step-by-step explanation:
<em>AO = radius = 5 cm</em>
<em>AB = 8cm/2 = 4 cm</em>
<em>Pythagora</em>
<em>OB² = AO² - AB²</em>
<em>= (5cm)² - (4cm)²</em>
<em>= 25cm² - 16cm²</em>
<em>= 9 cm²</em>
<em>OB = √9cm²</em>
<em>= 3 cm</em>
To start we need to put all the b's on the same side.
4b + 6 = 2 - b + 4
To move the b on the right side to the left side, add b to both sides.
4b + 6 + b = 2 - b + 4 + b
Simplify. 4b + b = 5b and -b + b = 0 so...
The equation is now: 5b + 6 = 2 + 4
Now move 6 to the right side so we can isolate b.
5b + 6 - 6 = 2 + 4 - 6
Simplify.
5b = 0
Solve for b.
b = 0/5
b = 0
Answer:
D
Step-by-step explanation:
subsitute each of the x and y values for each of the equations and if they both equal each other It is correct.
