# Problem # 2

A <-  matrix(c(1,2,-1,2,1,1,-3,-3,0),ncol=3)

det(A)
## [1] 0
#Since the determinant is 0, the matrix is not invertible.
#As such, the linear equation is not solvable


# Problem # 4

A <- matrix(c(4, -3, 0, -3, 5, 1),ncol=2)

B <- matrix(c(1,3,4,-2),ncol=2)

A%*%B
##      [,1] [,2]
## [1,]   -5   22
## [2,]   12  -22
## [3,]    3   -2