Consider the following matrix: 1 2 3 0 1 1 -2 3 5 1 78 Do the columns span all possible 4 × 1 matrices?

Use the method of undetermined coefficients to determine the form of a particular solution for the given equation. y'"' + 10y" – 11y=xe* + 4x What is the form of the particular solution with undetermined coefficients? Yp(x) = ] (Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.)

2x/5+5x=22/15

Find a simple quadratic with x = -1+ √2 as one of its solutions. Converting that simple quadratic to standard form, find the sum of the coefficients a + b + c.