For all questions below assume that A and B are n times n ma

For all questions below, assume that A and B are n times n matrices. If {v_1, v_2} is linearly independent and v_3 Span {v_1, v_2} then {v_1, v_2, v_3} is also linearly independent. If {v_1, v_2, v_3} is linearly independent then {v_1, v_2. v_3, v_4} is also linearly independent. If {v_1, v_2, v_3} is linearly dependent then {v_1, v_2} is also linearly dependent. T: R^3 rightarrow R^4 can not be a one-to- one linear transformation. T: R^3 rightarrow R^4 can not be an onto linear transformation. If A is an n times n matrix and Ax = b_t has infinitely many solutions for a specific b_1 then the columns of A are linearly dependent. If T: R^n rightarron R^n is a linear transformation such that T(x_1) = T(x_2) but x_1 notequalto x_2 then T is not onto linear transformation. (A + B)^-1 = A^-1 + B^-1 If A is invertible and r greaterthanorequalto 0 then (rA)^-1 = rA^-1 For all invertible matrices (A^T)^-1 = (A^-1)^T.

Solution

a.Fasle

b.True

c.True

d.False

e.True

g.True

h.True

i.True

j.True