A linear transformation T &#x003A;<!-- : --> <mi mathvariant="double-struck">R 3

Boilanubjaini8f 2022-06-26 Answered
A linear transformation T : R 3 R 2 whose matrix is
( 1 3 3 2 6 3.5 + k )
is onto if and only if k
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Answers (1)

grcalia1
Answered 2022-06-27 Author has 23 answers
T takes in a column vector ( a 1 , a 2 , a 3 ) T , i.e. an element of R 3 , and sends it to
( 1 3 3 2 6 3.5 + k ) ( a 1 a 2 a 3 ) .
Convince yourself that this results in a 2 × 1 matrix, i.e. an element of R 2
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