 Hello friends, welcome to the session I am Malka. We are going to discuss matrices. We have to solve the equation for x, y, z and t if 2 into matrix 2, z, y, t plus 3 into matrix 1 minus 1, 0, 2 equal to 3 into matrix 3, 5, 4, 6. Now we'll solve LHS in RHS individually and this gives us 2x, 2z, 2y, 2t matrix plus 3 minus 3, 0 and 6 as our second matrix. Now we'll add these 2 matrices, this gives us 2x plus 3, 2z minus 3, 2y plus 0 and 2t plus 6. Now we'll solve RHS equal to 3 into matrix 3, 5, 4, 6. This is equal to 9, 15, 12, 18. Now we'll equate RHS and LHS. 2x plus 3 equal to 9, this is our first equation, 2z minus 3 equal to 15 is our second equation and 2y equal to 12 is our third equation and 2t plus 6 equal to 18 is our fourth equation. From equation first we have 2x plus 3 equal to 9, this gives us 2x equal to 6, this implies x equal to 3. Now from equation second we get 2z equal to 15 plus 3, this implies z equal to 18 by 2 that is z equal to 9. Now from equation third we have, this implies y equal to 12 by 2 that is y equal to 6 and from equation fourth we have 2t equal to 18 minus 6, this implies 2t equal to 12, this implies t equal to 12 by 2 equal to 6. Therefore x equal to 3, y equal to 6, z equal to 9 and t equal to 0 is the required solution. Hope you understood it and enjoyed the session. Goodbye and take care.