Let A = x 1 1 0 ,   x   ε   R and A 4 = a i j . If a 11 = 109 , then a 22 is equal to_____________.

Question

Let A = x 1 1 0 , &#160; x &#160; &#949; &#160; R and A 4 = a i j . If a 11 = 109 , then a 22 is equal to_____________.

Aicharya · Accepted Answer

A 2 = x 1 1 0 &#215; x 1 1 0 = x 2 + 1 x x 1 A 4 = x 2 + 1 x x 1 &#215; x 2 + 1 x x 1 = x 4 + 3 x 2 + 1 x 3 + 2 x x 3 + 2 x x 2 + 1 Given a 11 = 109 &#8658; x 4 + 3 x 2 + 1 = 109 x 2 + 12 x 2 - 9 = 0 &#8658; x 2 = 9 &#8756; a 22 = x 2 + 1 = 10

Let A = x 1 1 0 ,   x   ε   R and A 4 = a i j . If a 11 = 109 , then a 22 is equal…

Solution

Let A = x 1 1 0 , &#160; x &#160; &#949; &#160; R and A 4 = a i j . If a 11 = 109 , then a 22 is equal…

Solution

Let A = x 1 1 0 , x ε R and A 4 = a i j . If a 11 = 109 , then a 22 is equal…