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AP EAMCET · Maths · Matrices

If z1=2+3i, z2=3+2i where i=-1 then z1z2-z2¯z1¯z1¯-z2z2¯z1=

  1. A 13I
  2. B I
  3. C 26I
  4. D Zero matrix
Verified Solution

Answer & Solution

Correct Answer

(C) 26I

Step-by-step Solution

Detailed explanation

z1=2+3i ∴ z1=2-3i z2=3+2i ∴ z2=3-2i Now, z1z2-z2¯z1¯z1¯-z2z2¯z1=z1z1¯+z2z2¯-z1z2+z1z2-z1z2+z1z2z1z1¯+z2z2¯ =(2+3i)(2-3i) + (3-2i)(3+2i)00(2+3i)(2-3i) + (3-2i)(3+2i)…