Linear Algebra Answers

 Doctors have become increasingly concerned about the sodium intake in the U.S. diet. Recommendations by the American Medical Association indicate that most individuals should not exceed 2400 mg of sodium per day. Liza ate 1 slice of pizza, 1 serving of ice cream, and 1 glass of soda for a total of 1030 mg of sodium. David ate 3 slices of pizza, no ice cream, and 2 glasses of soda for a total of 2420 mg of sodium. Melinda ate 2 slices of pizza, 1 serving of ice cream, and 2 glasses of soda for a total of 1910 mg of sodium. How much sodium is in one serving of each item?

Restriction: Use matrix inversion to answer to this question)

(1,2,-1,0),(1,3,1,2), (4,2,1,0), (6,1,0,1) examine whether the following vectors are linearly independent or dependent.

V =((x,y,0)T ∈R3 :x,y∈R).Using the definition of the subspace, show that V is a subspace of the vector space R3.Using the definition of the subspace, show that V is a subspace of the vector space R3.

Find Elementary matrices E1, E2 so that E2 E1 A = I2, where A = matrix(1 0 2 3) and I2 is the respective identity matrix

Find a basis and the dimension of the subspace W of ℝ^3 where W = {( x, y, z ) ∈ ℝ^3 ∶ x + y + z = 0 }.

Determine the subspace of ℝ^3 spanned by the vectors α = 1, 2, 3 , β = 3, 1, 0 . Examine whether

γ = 2, 1, 3 , δ = (−1, 3, 6) are in the subspace or not.

To ensure a growing season of sufficient length, Mang Popoy has at most 16 days left to

plant corn and soybean . he can plant com at a rate of 10 hectares per day and soybean at

15 hectares per day. If he has at most 200 hectares available, how many hectares of each

type of crop can he plant?​

How to show the polynomials are linearly dependent or independent

How to determine the radius and coordinates of a circle while given equation

Using the row reduction method to solve equations

1/a+bi =c+di

Question 1 of 12 7 Points

What follows is a calculated question with 14 blanks.

If a=⟨ 4,7,8 ⟩ and b=⟨ 5,10,2⟩ then:

|a|= Blank 15. Calculate the answer by read surrounding text.

|b|= Blank 16. Calculate the answer by read surrounding text.

a⋅b= Blank 17. Calculate the answer by read surrounding text.

a×b=⟨ Blank 18. Calculate the answer by read surrounding text.

, Blank 19. Calculate the answer by read surrounding text.

, Blank 20. Calculate the answer by read surrounding text.

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b×a=⟨ Blank 21. Calculate the answer by read surrounding text.

, Blank 22. Calculate the answer by read surrounding text.

, Blank 23. Calculate the answer by read surrounding text.

⟩

a×a=⟨ Blank 24. Calculate the answer by read surrounding text.

, Blank 25. Calculate the answer by read surrounding text.

, Blank 26. Calculate the answer by read surrounding text.

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The angle between a and b is Blank 27. Calculate the answer by read surrounding text.