-3 -3 6 (³).. (5) b= b3 Show that the equation Ax=b is not consistent for all possible b, and describe the set of all b for which the equation is consistent, both algebraically and geometrically. . Let A = 1 2 <-2 3 9 - 6 -

Determine whether the given proposition is true or false, for the universe of all real numbers. Use T for true and F for false. (Væ)(3y)(x + y = 0) (Ja)(Vy)(x² +y = 0) (3æ)(3y)(æ² + y = 0) (Vy)(3)(y = x2)

Determine the number of distinct solutions to the equation x1 + x2 + x3 + x4 = 47 such that x1 element {2,3,4,...} and x2, x3, x4 are element {0,1,2, …}

Prove the property a × b = -b xa of this theorem. Let a = (a₁, a2, a3) and b = (b₁, b₂, b3). Then axb= = = (−¹)| () (-1) = -b x a.