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Marianna [84]
3 years ago
8

What is the least common denominator (LCD) for these fractions?

Mathematics
1 answer:
inn [45]3 years ago
8 0
The least common denominator (LCD) for 1/12 and 3/4 is b. 12
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let t : r2 →r2 be the linear transformation that reflects vectors over the y−axis. a) geometrically (that is without computing a
tangare [24]

(a) ( 1, 0 ) is the eigen vector for '-1' and ( 0, 1 ) is the eigen vector for '1'.

(b)  two eigen values of 'k' = 1, -1

for k = 1, eigen vector is \left[\begin{array}{c}0\\1\end{array}\right]

for k = -1 eigen vector is \left[\begin{array}{c}1\\0\end{array}\right]

See the figure for the graph:

(a) for any (x, y) ∈ R² the reflection of (x, y) over the y - axis is ( -x, y )

∴ x → -x hence '-1' is the eigen value.

∴ y → y hence '1' is the eigen value.

also, ( 1, 0 ) → -1 ( 1, 0 ) so ( 1, 0 ) is the eigen vector for '-1'.

( 0, 1 ) → 1 ( 0, 1 ) so ( 0, 1 ) is the eigen vector for '1'.

(b) ∵ T(x, y) = (-x, y)

T(x) = -x = (-1)(x) + 0(y)

T(y) =  y = 0(x) + 1(y)

Matrix Representation of T = \left[\begin{array}{cc}-1&0\\0&1\end{array}\right]

now, eigen value of 'T'

T - kI =  \left[\begin{array}{cc}-1-k&0\\0&1-k\end{array}\right]

after solving the determinant,

we get two eigen values of 'k' = 1, -1

for k = 1, eigen vector is \left[\begin{array}{c}0\\1\end{array}\right]

for k = -1 eigen vector is \left[\begin{array}{c}1\\0\end{array}\right]

Hence,

(a) ( 1, 0 ) is the eigen vector for '-1' and ( 0, 1 ) is the eigen vector for '1'.

(b)  two eigen values of 'k' = 1, -1

for k = 1, eigen vector is \left[\begin{array}{c}0\\1\end{array}\right]

for k = -1 eigen vector is \left[\begin{array}{c}1\\0\end{array}\right]

Learn more about " Matrix and Eigen Values, Vector " from here: brainly.com/question/13050052

#SPJ4

6 0
1 year ago
Can someone tell me whats 3\4x5\6 is im dum
Anastaziya [24]

Answer:

15/24

Step-by-step explanation:

hope this helps u.

4 0
3 years ago
Read 2 more answers
Plz Answer all of the questions
Archy [21]

Answer:

so i think this may be right

A small Bucket can hold 75% more then a large Cup

If the bucket holds 36 units

36x.25=9

the large cup holds 9 units

Step-by-step explanation:

7 0
2 years ago
There are 18 bikes in a bike rack. There are 4 more blue bikes than yellow bikes,and 2 less yellow bikes than green bikes.how ma
Phoenix [80]
Y+4= x blue bikes
G-2= x yellow bikes

4y+4= 8 blue bikes
4y+2= 6 green bikes
4y= 4 yellow bikes

8 blue bikes
+
6 green bikes
+
4 yellow bikes
=
18 bikes total
5 0
3 years ago
How to solve it step by step <br> -8+4(1+5n)=-6n-14
oksano4ka [1.4K]

Answer:

n = -5/13

Step-by-step explanation:

-8+4(1+5n)=-6n-14  (from PEDMAS, expand parenthesis first)

-8+1(4) +5n(4)=-6n-14

-8+4 +20n=-6n-14

-4 + 20n = -6n -14  (add 6n to both sides)

-4 + 20n + 6n =  -14

-4 + 26n = -14  (add 4 to both sides)

26n = -14 + 4

26n = -10  (divide both sides by 26)

n = -10/26 = -5/13

5 0
3 years ago
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