D = 8cm H=8cm - Gauthmath

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Question

Find the matrix ‘ X ’ so that : xbeginbmatrix 1&2&3 4&5&6endbmatrix =beginbmatrix -7&-8&-9 2&4&6endbmatrix. (N,C.E.R,T.)SHOW LESS0

Solution

user avatar imageIt is given that  1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111112  The matrix given on the R.H.S. of the equation  is a 2* 3* 2* 3* 3 matrix and the one given on the  L.H.S. is a 2* 3* 2* 32* 3 matrix. Therefore, X has to be a 2* 2* 2* 2* 2 matrix.  Now, KA^(UX=()A)X=^(  Therefore, we have, (4,4) or beginarrayl x-y-2y-5y-6endarray. (4,4) Equating the corresponding elements of the  two matrices. we have -8.3a-6c-8.3a-6c-7.2a-6c-7.3a-6c-7.2a-6c-7.2a -9 b+4d=2, 2b+5d-4, 3b-6d-6d Now, 4c-q-4e-7=0 -8=-14-8c+5c=-8 or -3c=6-3c=6-6-3c=6 or c=-2 (-2)-(-1-8=1-4(-2)=-7-4(-2) Now, b-4d=2or4d-2or4d-2 beginarrayr 2b-5d-4-8d-4-4 -3d=0 d=0 b=2-4(0)-2-4(0)-2-4(0)-2-4(0)-2-4(0)-2 Thus, a=1, b=2, c=0, d=0 Hence, the required matrix X is (2-2,4,424Click to rate:10(60 votes)Search questionBy textBy image/screenshotDrop your file here orClick Hereto upload

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