To find W⊥, you can use the Gram-Schmidt process using the usual inner-product and the given 5 independent set of vectors.
<span>Define projection of v on u as </span>
<span>p(u,v)=u*(u.v)/(u.u) </span>
<span>we need to proceed and determine u1...u5 as: </span>
<span>u1=w1 </span>
<span>u2=w2-p(u1,w2) </span>
<span>u3=w3-p(u1,w3)-p(u2,w3) </span>
<span>u4=w4-p(u1,w4)-p(u2,w4)-p(u3,w4) </span>
<span>u5=w5-p(u4,w5)-p(u2,w5)-p(u3,w5)-p(u4,w5) </span>
<span>so that u1...u5 will be the new basis of an orthogonal set of inner space. </span>
<span>However, the given set of vectors is not independent, since </span>
<span>w1+w2=w3, </span>
<span>therefore an orthogonal basis cannot be found. </span>
Answer:
If the first die is a 5, the second must be 5 or more in order to have a sum of at least ten.
Assuming it is a six sided die, the two values that would make this true are 5 and 6.
2 values/6 possible would be a probability of 2/6, which simplifies to 1/3
Final answer: 1/3
Step-by-step explanation:
Answer:
375
Step-by-step explanation:
12.5=1min
30min=?
30x12.5=357
Answer:
the largest is 620cm the next is 4.4 dam and the smallest is 0.52 km
Answer:
Step-by-step explanation:
Given:
Length of a rectangle solid = 3 m
Width of a rectangle solid = 0.6 m
Height of a rectangle solid = 0.4 m
To find: Volume of the solid
Solution:
Volume of the solid = length × breadth × height
So, the number of cubic meters in the volume of the solid is
