Array arithmetic in a bash shell script

Question

This is the code that I have wrote in bash. The array arrKey is taking the user input and it's working well when I check. but I want to assign the elements in arrKey[] into new array K1[], then values are changing. For arrKey[0,1] and arrKey[1,0], I want to assign minus value in order to find the determinant of matrix later.

This is the Code:

  declare -A arrKey

  for ((i=0; i<2; i++)) do
      for((j=0; j<2;j++)) do
           read -p "Enter the key [$i, $j] =  :  " num
           arrKey[$i,$j]=$num
      done
  done

  declare -a K1
  K1[0,0]="$((arrKey[1,1] ))"
  K1[0,1]="$((0 - arrKey[0,1] ))"
  K1[1,0]="$((0 - arrKey[1,0] ))"
  K1[1,1]="$((arrKey[0,0] ))"

  echo ${arrKey[0,0]}
  echo ${arrKey[0,1]}
  echo ${arrKey[1,0]}
  echo ${arrKey[1,1]}
  echo
  echo ${K1[0,0]}
  echo ${K1[0,1]}
  echo ${K1[1,0]}
  echo ${K1[1,1]}

When I run array K1[] values not as expected.

  Enter the key [0, 0] = : 1
  Enter the key [0, 1] = : 2
  Enter the key [1, 0] = : 3
  Enter the key [1, 1] = : 4

  1
  2
  3
  4

  -3
  1
  -3
  1

Expected Output:

  Enter the key [0, 0] = : 1
  Enter the key [0, 1] = : 2
  Enter the key [1, 0] = : 3
  Enter the key [1, 1] = : 4

  1
  2
  3
  4

  4
  -2
  -3
  1