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Let A = [a b; c d] be a square matrix such that adj A = A. Then, (a + b + c + d) is equal to :
If A is a square matrix of order 3 such that the value of |adj·A| = 8, then the value of |Aᵀ| is :
If A is a square matrix of order 3 such that |adj·A| = 8, then the value of |Aᵀ| is :
Let A be a 3 × 3 matrix such that |adj A| = 64. Then |A| is equal to :
If A is a square matrix of order 3 and |A| = 6, then the value of |adj A| is :
A trust invested some money in two types of bonds. The first bond pays 10% interest and second bond pays 12% interest. The trust received ₹2800 as interest. However, if trust had interchanged money in bonds, they would have got ₹100 less as interest. Let the amount invested in first type and second type of bonds be ₹x and ₹y respectively. Based on the above information, answer the following questions:
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