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If X= [ array ll 1 & 0 0 & 1 array ] and Y= [ array cc 0 & 1 -1 & 0 array ] and B= [ array cc & - & array ] then B equals

Options

  1. AX +Y
  2. BX -Y
  3. C-X +Y
  4. Dx +y

Correct answer

A. X +Y

Step-by-step solution

Given X = bmatrix 1 & 0 0 & 1 bmatrix and Y = bmatrix 0 & 1 -1 & 0 bmatrix . Calculate X + Y : X = bmatrix & 0 0 & bmatrix Y = bmatrix 0 & - & 0 bmatrix Adding these two matrices: X + Y = bmatrix & 0 0 & bmatrix + bmatrix 0 & - & 0 bmatrix = bmatrix & - & bmatrix This result is identical to the given matrix B . Answer: X +Y

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