Consider v1=[4 -8 9 6], v2=[0 5 11 -6] and v3=[12 2 -4 -7]
Illustrate that v=[128 -11 -55 -40] is in span {v1, v2, v3} through matrix and Row reducing it
Consider v1=[1 2 3 4] and v2=[-4 0 6 7]
Determine the vector in span {v1, v2} which is neither the scalar multiple of v1 nor the scalar multiple of v2. Then compute the vecotr v which is NOT in span{v1, v2} by writing down the suitable matrix.
Let system of lin equations: 3x-8y+z=4 and -20x-5y-6z=2. Determine all solutions by finding the single solution by setting one variable of x y or z eqaul to 0, form the aug matrix for resulting system and then row decrease matrix for the unique solution in xyz
Solve homogenous equation system: 3x-8y+z=0 and -20x-5y-6z=0 by form aug matrix for solutions of homo system then add solutions from first part above to second part
Consider a be a m by n matrix. x vector in R^n and b vector in R^m. Illustrate if x1 is in R^n is the solution to Ax=b and x2 is solution to Ax=0, then x1+x2 is solution to Ax=b.