00:01
Hello everyone, so in this question in the a part we need to find out the end is noted by a star mark.
00:12
Right? so if we make them partition them into blocks and from the definition of mn we can say that m21 n11 plus m22n2 and 2 .1 is equal to star and star so let this be equation 1.
00:38
Now, from the given mattresses m and n, m2n, m21 is 013514 and n1.
00:50
And n11 is 6, 12, 7, 8.
00:57
And if we multiply these both, m21 and n11, we will get 60, 40, 80, 50, 50, 66 and red now if you see m22 minus 4 minus 1 minus 8 055 608 this is m2 and n21 3 minus 1 70 0 this is n21 3 minus 1 70 minus 5 70 this is n21 so m2 2 2 n21 is minus 12 minus 5 70 0 this is n21 so m 2 2 2 and 2 1 is minus 12 minus 1 minus 8 minus 29 20 40 and 70 right so now if we add them both we will get this matrix by adding 60 40 18 15 16 66 53 and this matter is minus 12 minus 8 minus 29 20 40 70 70 75 and this answer will be minus 12 minus 8 minus 29 20 40 and 75 so we got this matrix this is the a part now coming to the b part we have to find the entries a b c b in the matrix n 1 1 2 is this matrix a b right from the block partition we can see that n 1 2 is this so from the definition we can of mn we can see that m11 n12 plus m1n2 n2 is equal to 0 minus hundred 44 and 7 so let this be equation 2 so m11 we know and we know all of these so if we find out m11 and n12 that would be minus a plus 2c minus 5 5a plus 5c this is b plus 2d minus 5b plus 5d right and this again another one m1 2 and n2 if we multiply them we'll get 0 minus 8 5 41 and 27 so if we add them both we will get the resultant so by adding a plus 2c minus 5a plus 5c, b plus 2d minus 5b plus 5d plus 5d plus 0 minus 85, 41 and 27.
04:42
By adding these both, we will get a plus 2c, b plus 2d plus 41 minus 5a plus 5c minus 5a plus 5c minus 5a plus 5c minus 85 minus 5d plus 5d plus 5d plus 27 right and if we equalize this with the equation to a plus 2c minus 5a plus 5c minus 85 b plus 2d plus 41 and minus 5d plus 5 d plus 27 if we equalize this is with 0 minus 100, 54 and 7 which will get a plus 2c is 0 and minus a plus another one we have minus 5a plus 5c minus 85 is equal to minus 100 from here we'll get minus a plus c is equal to minus 100 from here we'll get minus a plus c is equal to minus 100...