Matrices Calculator

Rows separated by a semicolon or newline, entries by spaces or commas. Fractions such as 1/2 are accepted.
Required for A+B, A-B, AB, element-wise and Kronecker products.
Used by the scalar multiple and by kA + B.
A negative exponent raises the inverse of A.
Result
6 8; 10 12
Matrix Operations Calculator
Rows in result
2
Columns in result
2
Trace of result
18
Sum of all entries
36
Operation performed
A + B (addition)
Result size
2 x 2
Worked out from Gilbert Strang, Introduction to Linear Algebra, ch. 2 (matrix operations) and 2 other sources.

How this is worked out

4 steps
  1. A is 2x2, B is 2x2.
  2. Addition is entry-by-entry: C(i,j) = A(i,j) + B(i,j).
  3. [ 6 8 ]
  4. [ 10 12 ]
Result matrixtable
01
68
1012

Results are general information, not financial, tax, legal, medical or engineering advice.