(a) The equation 2x-e^(y)+z=11 is a linear equation
(b) The sequence (-1,0,3) is a solution of the equation 3x+11y+4z=9. ( )
(c) Every system of linear equations has a solution.
(d) The equation 2x+2y+sinz=7 is a linear equation
(e) The sequence (3,0,-1) is a solution of the equation 3x-10y+4z=5. ( )
(f) An inconsistent system has infinitely many solutions. ( )
(g) The equation (1)/(x)+2y+5z=7 is a linear equation
(h) The sequence (3,0,-1) is a solution of the equation 2x-10y-z=7. ( )
(i) An independent system has infinitely many solutions.
(j) If A is an m imes r matrix and B is r imes n, then AB is defined.
(k) If AC=BC, then A=B assuming the multiplication is defined.
(l) The transpose of a square matrix is also a square matrix.
(m) If A and B are matrices of the same size, then AB is defined.
(n) If A is a square matrix, then (A^(T))^(2)=(A^(2))^(T).(,)
(o) If AB is equal to the zero matrix, then either A or B is the zero matrix.
(p) If A is an invertible matrix, then A^(T)=A^(-1). ( )
(q) If A+B=A+C, then B=C assuming A,B,C have the same size. ( )
(a) The equation 2x - e + z = 11 is a linear equation
(b) The sequence(-1,0,3) is a solution of the equation 3x+11y+4z=9.( (c) Every system of linear equations has a solution.
d The equation 2x+2y+ sin z =7 is a linear equation
e The sequence3,0,-1 is a solution of the equation 3x-10y+4z=5.
(f) An inconsistent system has infinitely many solutions. () (g) The equation + 2y + 5z = 7 is a linear equation
(h) The sequence (3,0, -1) is a solution of the equation 2x - 10y - z= 7. ()
(i An independent system has infinitely many solutions.
(j) If A is an m r matrix and B is r n, then AB is defined.
k If AC=BC,then A= B assuming the multiplication is defined.
(l) The transpose of a square matrix is also a square matrix.
(m) If A and B are matrices of the same size, then AB is defined.
(n) If A is a square matrix,then (AT)=(A2). ()
o) If AB is equal to the zero matrix,then either A or B is the zero matrix
(p) If A is an invertible matrix, then AT = A-1. () (q) If A + B = A + C, then B= C assuming A, B,C have the same size. ()