kindly answer this question

Asked by sharmasaumya453 | 16th Sep, 2020, 03:07: PM

Expert Answer:

Question: Let M be a 3x3 matrix satisfying M[0 // 1 // 0] = [-1 // 2 // 3], M[1 // -1 // 0] = [1 // 1 // -1] and M[1 // 1 // 1] = [0 // 0 // 12]. Then the sum of diagonals of M is
Solution:
Take matrix M as [m11  m12  m13 // m21  m22  m23 // m31  m32  m33]
Taking M[0 // 1 // 0] = [-1 // 2 // 3]            we get m12 = -1, m22 = 2 and m32 = 3 ... (i)
Taking M[1 // -1 // 0] = [1 // 1 // -1]           we get m11 - m12 = 1, m21 - m22 = 1 and m31 - m32 = -1
Substituting the values obtained in (i), we get
m11 = 0, m21 = 3 and m31 = 2
Similarly, we get m13 = 1, m23 = -5 and m33 = 7
Hence, the sum of diagonals = m11 + m22 + m33 = 0 + 2 + 7 = 9

Answered by Renu Varma | 21st Sep, 2020, 11:02: AM

Queries asked on Sunday & after 7pm from Monday to Saturday will be answered after 12pm the next working day.