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3 years ago

A cheesecake recipe says, “Mix 12 oz of cream cheese with 15 oz of

Mathematics

1 answer:

Leno4ka [110]3 years ago

8 0

Answer:

0.8 oz of cream cheese for each ounce of sugar

Step-by-step explanation:

All you need to do is divide cream cheese oz by sugar oz. so,

12/15 = 0.8

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Answer:

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3 years ago

Describe the solutions of 2-5>n in words

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3 years ago

Let {v1,v2,v3} be a set of vectors in Rn . If u is Span {v1,v2,v3}, show that 3u is in Span {v1,v2,v3}.(Hint: since you are told

ANTONII [103]

Answer:

See proof below

Step-by-step explanation:

We will use the hint. The statement of the hint holds true, as the linear span of a set of vectors T is equal to the set of linear combinations of vectors in T.

Denote the linear span of vectors with the curly brackets < >, that is, $span\{v_1,v_2,v_3\}:=$

Let $u\in$ , then u is a linear combination of v1,v2,v3, that is, there exist scalars $c_1,c_2,c_3\in \mathbb{R}$ such that $u=c_1v_1+c_2v_2+c_3v_3$ . Multiply by 3 in both sides to get $3u=3c_1v_1+3c_2v_2+3c_3v_3=d_1v_1+d_2v_2+d_3v_3$ , with $d_i=3c_i,i=1,2,3$

Since $c_1,c_2,c_3\in \mathbb{R}$ , $d_1,d_2,d_3\in \mathbb{R}$ as real numbers are closed under multiplication. Therefore 3u is a linear combination of the vectors $v_1,v_2,v_3$ , that is, $3u\in$

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3 years ago