Let A=a_ij3×3 be a matrix, where a_ij= x i≠j 1 i=j ∀i,j∈N & i,j≤3. If C_ij be the cofactor of a_ij and C_12+C_23+C_32=6, then the number of value(s)…

Question

Let A=a_ij3×3 be a matrix, where a_ij= x i≠j 1 i=j ∀i,j∈N & i,j≤3. If C_ij be the cofactor of a_ij and C_12+C_23+C_32=6, then the number of value(s) of x ∀x∈R is(are)

MARKS Content Team · Accepted Answer

Correct answer: 2. A= 1 x x x 1 x x x 1 C_12=x^2-x C_23=x^2-x C_32=x^2-x C_12+C_23+C_32=6 3x^2-x=6 x^2-x-2=0 x=2,-1

Let $A = {[a_{i j}]}_{3 \times 3}$ be a matrix, where $a_{i j} = \{\begin{cases} x & i \neq j \\ 1 & i = j \end{cases}$ $\forall i, j \in N & i, j \leq 3 .$ If $C_{i j}$ be the cofactor of $a_{i j}$ and $C_{12} + C_{23} + C_{32} = 6$ , then the number of value(s) of $x$ $(\forall x \in R)$ is(are)

Solution

More Matrices Questions

Let A=aij3×3 be a matrix, where aij=x i≠j1i=j∀i,j∈N & i,j≤3. If Cij be the cofactor of aij and C12+C23+C32=6, then the number of value(s) of x ∀x∈R is(are)

Solution

More Matrices Questions

Let $A = {[a_{i j}]}_{3 \times 3}$ be a matrix, where $a_{i j} = \{\begin{cases} x & i \neq j \\ 1 & i = j \end{cases}$ $\forall i, j \in N & i, j \leq 3 .$ If $C_{i j}$ be the cofactor of $a_{i j}$ and $C_{12} + C_{23} + C_{32} = 6$ , then the number of value(s) of $x$ $(\forall x \in R)$ is(are)