Answer: Permutation is 30
Step-by-step explanation:
Find HCF and LCM 100 60
2 answers:
Answer:
HCF: 20
LCM: 300
Step-by-step explanation:
This is a simpler and easier way to answer this question. Refer to the picture.
Put the numbers (two or more numbers) side-by-side, then find a common factor. Put the factor on the right (2 in this case) and divide both numbers by the factor, then put the quotients below their respective dividends. Keep going until there are no more common factors. Then, for the HCF, use only the number on the left (i.e. 2, 2, and 5). Multiply them to get the HCF. 2*2*5=20
For the LCM, multiply the numbers on the left and the bottom, i.e. 2*2*5*5*3 = 300
You might be interested in
Answer:
a) The set of solutions is y b) the set of solutions is
.
Step-by-step explanation:
a) Let's first find the echelon form of the matrix .
- We add
from row 1 to row 2 and we obtain the matrix
- From the previous matrix, we multiply row 1 by
and the row 2 by
and we obtain the matrix
. This matrix is the echelon form of the initial matrix.
The system has a free variable (x3).
- x2+3x3=0, then x2=-3x3
- 0=x1+
x3=
x1+(-3x3)+
x3=
x1-x3+
x3
then x1=0.
The system has infinite solutions of the form (x1,x2,x3)=(0,-3x3,x3), where x3 is a real number.
b) Let's first find the echelon form of the aumented matrix .
- To row 2 we subtract row 1 and we obtain the matrix
- From the previous matrix, we add to row 3,
of row 2 and we obtain the matrix
.
- From the previous matrix, we multiply row 2 by
and we obtain the matrix
. This matrix is the echelon form of the initial matrix.
The system has a free variable (x4).
- x3-
x4=
, then x3=
x3+
x4=
x2=x4.
- x1-2x2+x3-4x4=1, x1+
+
x4+
The system has infinite solutions of the form (x1,x2,x3,x4)=(-6,x4,
+
x4,x4), where x4 is a real number.