Compute the orthogonal projection of left bracket Start 2 By 1 Matrix 1st Row 1st Column negative 4 2nd Row 1st Column 5 EndMatrix right bracket onto the line through left bracket Start 2 By 1 Matrix 1st Row 1st Column negative 1 2nd Row 1st Column 1 EndMatrix right bracket and the origin. The orthogonal projection is left bracket Start 2 By 1 Matrix 1st Row 1st Column nothing 2nd Row 1st Column nothing EndMatrix right bracket . Bold y equals=left bracket Start 2 By 1 Matrix 1st Row 1st Column 3 2nd Row 1st Column 6 EndMatrix right bracket 3 6 and Bold uuequals=left bracket Start 2 By 1 Matrix 1st Row 1st Column 6 2nd Row 1st Column negative 6 EndMatrix right bracket 6 −6.

Write Bold y as the sum of two orthogonal vectors, one in Span Start Set Bold u End Set Span {u} and one orthogonal to Bold u.

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 – 10x +2?

Which coefficient matrix represents a system of linear equations that has a unique solution ? options in photo*

Questions 9-10. use the table of educational expenditures to answer the questions. k-12 education expenditures population indiana $9.97 billion 6.6 million illinois $28.54 billion 12.9 million kentucky $6.58 billion 4.4 million michigan $16.85 billion 9.9 million ohio $20.23 billion 11.6million 9. if the amount of k-12 education expenses in indiana were proportional to those in ohio, what would have been the expected value of k-12 expenditures in indiana? (give the answer in billions rounded to the nearest hundredth) 10. use the value of k-12 education expenditures in michigan as a proportion of the population in michigan to estimate what the value of k-12 education expenses would be in illinois. a) find the expected value of k-12 expenditures in illinois if illinois were proportional to michigan. (give the answer in billions rounded to the nearest hundredth) b) how does this compare to the actual value for k-12 expenditures in illinois? (lower, higher, same? )