00:01
Hi, today we are solving the question in which we are given with a matrix 2 2k, then matrix 1401, then 01 minus 1, then matrix 2 2k, it is equals to 0.
00:23
So we have to find all values of k.
00:26
That satisfies the equation.
00:29
So here, applying the multiplication of matrices.
00:33
So taking the first two matrices.
00:36
So here, multiplication of the matrix to 2k or 140401 -0 -1 minus 1.
00:47
So it will give us 10, 8 plus k and 2 -1 -k.
00:54
So similarly, taking this matrix, that is the resultant of the product.
01:00
Of these two metrics so 10 8 plus k in 2 minus k whole in multiplied to 2 k so if we multiply these that is equal to 0 so multiplying these two matrices so we get it as 20 plus 16 plus 2k plus 2k minus k square so it will be equal to 0 so we get one quadratic equation that is 36 plus 4k minus k square is equals to 0.
01:41
So solving the quadratic equation that is given as minus k square plus 4k plus 36 that is equals to 0...