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A&B are square matrices of order 3 each |A|=2&|B^(T)|=3 .Find |-4AB| .solve it |
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Answer» Answer: ANSWER We know that ∣AB∣=∣A∣∣B∣ Also for a square matrix of order 3 ∣KA∣=K 3 ∣A∣because each ELEMENT of the matrix A is multiplied by k and HENCE in this CASE we will have k 3 common. ∴∣3AB∣=3 3 ∣A∣∣B∣= =27(−1)(3)=−81 |
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