1) The statement The transpose of an upper triangular matrix is a lower triangular matrix true or...
Question:
1) The statement “The transpose of an upper triangular matrix is a lower triangular matrix” true or false? explain
2) If A is an n × n nonsingular matrix, then which of the following statement is false? explain
a)A is invertible
b)Ax=0 has trivial solution
c)Ax=b has a unique solution for every n × 1 matrix b
d)Ax=0 has nontrivial solution
3) If in a linear system in 2 equations in 2 unknowns has no solution, what does the graph represents? explain
5) In three-dimensions, if the equation of the planes intersects in a point then the solution of the system will be what?explain
6) linear equation in two-dimensions is an equation of a what?explain
7)The sum of a diagonal matrix and an upper triangular matrix is a what? explain
8)
Which of the following equation is not linear in x, y, and z? explain
a)x-√2y+z^a+1=1, a=1
b)x-y+cz+1=0, c=1/2
c)x+2y-4z=1
d)5x+6y+z^b=0, b=1/2
Differential Equations and Linear Algebra
ISBN: 978-0131860612
2nd edition
Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West