Find x, y, z and a for which [ matrix x+3&2y+x\\ z-1&4a-6 matrix ]=[ matrix 0&-7\\ 3&2a matrix ]

Find the values of x , y , za n da which satisfy the matrix equation [(x+3, 2y+x), (z-1, 4a-6)]=[(0,-7), (3, 2a)]

Find the values of x ,\ \ y\ ,\ z if the matrix A=[0 2y z x y-z x-y z] satisfy the equation A^T\ A=I_3 .

Find the values of x, y, z if the matrix A=[[0, 2y, z],[ x, y,-z],[ x,-y, z]] satisfy the equation A^(prime)A=I .

In the matrix [[1,0,5],[2,-3,4]] order of matrix matrix is………

Find the matrix X for which [(1,-4) ,(3,-2)]X=[(-16,-6),( 7, 2)] .

Find x ,\ y satisfying the matrix equations: [x-y 2 -2 4x6]+[3-2 2 1 0-1]=[6 0 0 5 2x+y5] (ii) [x y+2z-3]+[y4 5]=[4 9 12]

Find x ,\ y satisfying the matrix equations: x[2 1]+y[3 5]+[-8-11]=0

Consider a system of linear equation in three variables x,y,z a_1x+b_1y+ c_1z = d_1 , a_2x+ b_2y+c_2z=d_2 , a_3x + b_3y + c_3z=d_3 The systems can be expressed by matrix equation [(a_1,b_1,c_1),(a_2,b_2,c_2),(a_3,b_3,c_3)][(x),(y),(z)]=[(d_1),(d_2),(d_3)] if A is non-singular matrix then the solution of above system can be found by X = A^(-1)B , the solution in this case is unique. if A is a singular matrix i.e. then the system will have no solution (i.e. it is inconsistent) if Where Adj A is the adjoint of the matrix A, which is obtained by taking transpose of the matrix obtained by replacing each element of matrix A with corresponding cofactors. Now consider the following matrix. A=[(a,1,0),(1,b,d),(1,b,c)], B=[(a,1,1),(0,d,c),(f,g,h)], U=[(f),(g),(h)], V=[(a^2),(0),(0)], X=[(x),(y),(z)] The system AX=U has infinitely many solutions if :

Consider a system of linear equation in three variables x,y,z a_1x+b_1y+ c_1z = d_1 , a_2x+ b_2y+c_2z=d_2 , a_3x + b_3y + c_3z=d_3 The systems can be expressed by matrix equation [(a_1,b_1,c_1),(a_2,b_2,c_2),(c_1,c_2,c_3)][(x),(y),(z)]=[(d_1),(d_2),(d_3)] if A is non-singular matrix then the solution of above system can be found by X = A^(-1)B , the solution in this case is unique. if A is a singular matrix i.e. then the system will have no unique solution if no solution (i.e. it is inconsistent) if Where Adj A is the adjoint of the matrix A, which is obtained by taking transpose of the matrix obtained by replacing each element of matrix A with corresponding cofactors. Now consider the following matrix. A=[(a,1,0),(1,b,d),(1,b,c)], B=[(a,1,1),(0,d,c),(f,g,h)], U=[(f),(g),(h)], V=[(a^2),(0),(0)], X=[(x),(y),(z)] If AX=U has infinitely many solutions then the equation BX=U is consistent if

For what value of x, the given matrix A= [(3-2x,x+1),(2,4)] is a singular matrix?