Publications by Fares A

C22

03.02.2024

Exercise C22 in chapter VS: Find the dimension of the subspace \(W\) of \(P_3\), given by: \[ W = \{ a + bx + cx^2 + dx^3 \mid a + b + c + d = 0 \} \] coeff_matrix <- matrix(c(1, 0, 0, -1, # polynomial a - d 0, 1, 0, -1, # polynomial b - d 0, 0, 1, -1), # polynomial c - d ...

157 sym

C51 exercise

31.01.2024

C51, in the SSLE exercises of the Linear Algebra book Exercise C51: “Find all of the six-digit numbers in which the first digit is one less than the second, the third digit is half the second, the fourth digit is three times the third and the last two digits form a number that equals the sum of the fourth and fifth. The sum of all the digits ...

1515 sym