2 x 2 x 2 x 2 x 2 x 3 = 96 2 x 2 x 2 x 2 x 3 x 3 = 144 2 x 2 x 3 x 3 x 5 = 180
2 x 2 x 2 x 3 x 3 = 72 2 x 2 x 3 x 3 x 3 = 108
2 x 2 x 3 x 7 = 84 2 x 3 x 3 x 3 x 7 = 378 2 x 2 x 3 x 3 x 3 x 7 = 756, the LCM
2 x 2 = 4 3 x 3 x 3 = 27 2 x 2 x 3 x 3 = 36 2 x 5 = 10
2 x 2 x 3 x 3 = 36 2 x 2 x 2 x 2 x 3 = 48 2 x 2 x 2 x 2 x 3 x 3 = 144, the LCM
No.Two matrices A and B can be added or subtracted if and only if they have the same number of rows and columns. That is a 3 x 2 matrix can be added or subtracted only with another 3 x 2 matrix.
Yes it is possible. The resulting matrix would be of the 2x3 order.
The first matrix has 3 rows and 2 columns, the second matrix has 2 rows and 3 columns. Two matrices can only be multiplied together if the number of columns in the first matrix is equal to the number of rows in the second matrix. In the example shown there are 3 rows in the first matrix and 3 columns in the second matrix. And also 2 columns in the first and 2 rows in the second. Multiplication of the two matrices is therefore possible.
This is not going to be easy without the sigma notation, but here's the best that I can do. Let 3 x 2 matrix A = {aij} where i = 1, 2, 3 and j = 1, 2 and 2 x 3 matrix B = {bkl} where k = 1, 2 and l = 1, 2, 3 Then their product is the matrix C = {cmn} where m 1, 2, 3 and n = 1, 2, 3 such that cmn = am1*b1n + am2*b2n That is, the element in row m and column n of C is the sum of the products of the elements in the mth row of A and the nth column of B
It will be a 2 x 5 matrix.
3 x 3 matrix
That's a special calculation done on square matrices - for example, on a 2 x 2 matrix, or on a 3 x 3 matrix. For details, see the Wikipedia article on "Determinant".
7 x 6A+
3x1 matrix
no
Yes.
2 x 5 matrix