B-is-the-matrix-3-1-3-1-2a-1-0-2-a-i-find-the-value-of-a-for-which-B-is-singular-ii-determine-whether-or-not-

Question Number 10228 by j.masanja06@gmail.com last updated on 30/Jan/17

B is the matrix

⌈ 3 1 - 3 ⌉

∣ 1 2 a 1 ∣

⌊ 0 2 a ⌋

i . find the value of a for which B is

singular

ii . determine whether or not

⌈ x ⌉ ⌈ - 3.5 ⌉

B ∣ y ∣ = ∣ 5.5 ∣ has the

⌊ z ⌋ ⌊ 5 ⌋

solution for each of the value of obtai

ned in (i) above

Commented by prakash jain last updated on 31/Jan/17

| \begin{matrix} 3 & 1 & - 3 \\ 1 & 2 a & 1 \\ 0 & 2 & a \end{matrix} |

= 3 (2 a^{2} - 2) - 1 (a + 6)

= 6 a^{2} - 6 - a - 6

∣ B ∣= 0

6 a^{2} - a - 12 = 0

a = \frac{1 \pm \sqrt{1 - 4 (6) (- 12)}}{12} = \frac{1 \pm 17}{12}

a = \frac{3}{2}, - \frac{4}{3}

Commented by j.masanja06@gmail.com last updated on 31/Jan/17

thanks sir!

how about loman (ii) ?

Commented by j.masanja06@gmail.com last updated on 01/Feb/17

how about loman (ii) sir ?

Commented by prakash jain last updated on 01/Feb/17

What does loman mean ?