MATH 3A Midterm: MATH 3A Midterm 2 Spring 2015
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MATH 3A Full Course Notes
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No notes, books, calculators, cellphones, or supplies except pencils and pens allowed. Suggestions: don"t spend too long on any one problem. Then the third column of a is a linear combination of the rst and second columns. (e) let a be an m n matrix. Ax = 0 must have in nitely many solutions: calculate det(a) for: Then determine the values of k for which the matrix a is invertible and. Nd the inverse matrix a 1 (note: to nd the inverse you can use any method you like): let. If not, can you give a vector that is missing from the range of a? (d) consider the vector v =" 3. Show that v is in the column space. Then nd the coordinates of v with respect to the basis you found for col(a) in part (a): find the inverse of the matrix. 0 1 1 and use the result to nd the inverses of.
