00:01
Hello, students, we are given a matrix equation and in which we have to find x, y, z, w values of x, y, z and w.
00:11
So, students, how we can solve this? we can solve this like this.
00:16
We write this matrix in lhs, which is w, x, y and x again.
00:23
And we have to, we have to multiply this matrix by two.
00:28
According to the matrix multiplication, we multiply constant term to each and every individual element of the matrix.
00:35
So we write like this minus 4, 3, 2 and minus 1 plus 2y, 2y, 2w, 2z, 2x, right? after that, we have to just sum up the individual elements, simultaneous elements of each and individual matrix.
00:54
Suppose we have to sum up the matrix and we have to sum minus 4.
00:59
Minus 4 plus 2y right so we can easily add the each and every corresponding element to other element right so we write this minus 4 plus 2y and 3 plus 2 w and now we can write this 2 plus 2 z and at the end minus 1 plus 2x right now we can compare each and every corresponding element to the other element in other matrix, right? thus, we can say that x can be compared to minus 1 plus 2x.
01:38
So we can write like this, x equals to minus 1 plus 2x...