Question
If and then value of for which is
- 1
- -1
-
- no real value of
Hint:
We are given two matrices A and B. One of the element of matrix A is missing. It is denoted by a variable α. We are given the condition that the matrices satisfy. We have to use the conditon to find the value of the variable.
The correct answer is: no real value of
The given matrices are as follows:
The given condition is A2 = B
We will first find the value of A2. We will multiply the matrix A by itself. The we will substitute the value in the condition. We will get two matrices on both side of equal sign. We will compare the elements of the matrices.
We will find A2
Now we will substitute this value in the condition.
We will compare the elements now.
α2 = 1
α + 1 = 3
If we see α cannot satisfy both the conditions simultaneously.
So, It doesn't have any real value.
The right option is " no real value of α".
For such questions, we should know how to multiply to matrices. When there is equal sign between two matrices, the elements of both the matrix should be equal.
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