Hey there :)

Change mixed fraction into an improper fraction


: are both even numbers, so you can further simplify by dividing by 2

To add fractions, we need same denominator to proceed. Here we have no problem since both denominators are 5


As a mixed fraction:

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Let us change the mixed fraction into an improper fraction:


: You can further simplify this since both are divisible by 2

We have the same denominator set for subtraction, so you do not have to find common denominators


As a mixed fraction:
this might help if any problem then ask.
Answer:
Step-by-step explanation:
given that U, V are two vectors in R^n
These two vectors can be written as a linear combination of 3 vectors
w1, w2, and w3
To prove that U+V also can be written as a linear combination of these three vectors.
Since U is a linear combination we can write for not all a,b, c equal to 0

Similarly for d,e,f not all equal to 0

Adding these we have

Here all a+d, b+e or c+f cannot be simultaneously 0.
So we get U+V can be written as a linear combination of w1, w2 w3 as follows:

Proved
Given square tiles = 841 .
Number of rows =
![\sqrt{841} = \sqrt[2]{29 \times 29} = 29](https://tex.z-dn.net/?f=%20%5Csqrt%7B841%7D%20%20%3D%20%20%5Csqrt%5B2%5D%7B29%20%5Ctimes%2029%7D%20%20%3D%20%2029)
= 29 rows!!
The number of Rows = 29 .
Thanks !!