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प्रश्न
Choose the correct alternative:
If |adj(adj A)| = |A|9, then the order of the square matrix A is
विकल्प
3
4
2
5
उत्तर
4
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संबंधित प्रश्न
Find the adjoint of the following:
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Find the adjoint of the following:`1/3[(2, 2, 1),(-2, 1, 2),(1, -2, 2)]`
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`[(-2, 4),(1, -3)]`
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Find the inverse (if it exists) of the following:
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If A = `[(5, 3),(-1, -2)]`, show that A2 – 3A – 7I2 = O2. Hence find A–1
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A = `[(1, tanx),(-tanx, 1)]`, show that AT A–1 = `[(cos 2x, - sin 2x),(sin 2x, cos 2x)]`
Find the matrix A for which A`[(5, 3),(-1, -2)] = [(14, 7),(7, 7)]`
Given A = `[(1, -1),(2, 0)]`, B = `[(3, -2),(1, 1)]` and C = `[(1, 1),(2, 2)]`, find a martix X such that AXB = C
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Decrypt the received encoded message [2 – 3][20 – 4] with the encryption matrix `[(-1, -1),(2, 1)]` and the decryption matrix as its inverse, where the system of codes are described by the numbers 1 – 26 to the letters A – Z respectively, and the number 0 to a blank space
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If A is a 3 × 3 non-singular matrix such that AAT = AT A and B = A-1AT, then BBT =
Choose the correct alternative:
If A = `[(7, 3),(4, 2)]` then 9I2 – A =
Choose the correct alternative:
If A = `[(2, 0),(1, 5)]` and B = `[(1, 4),(2, 0)]` then |adj (AB)| =
Choose the correct alternative:
If + = `[(1, x, 0),(1, 3, 0),(2, 4, -2)]` is the adjoint of 3 × 3 matrix A and |A| = 4, then x is
Choose the correct alternative:
If A B, and C are invertible matrices of some order, then which one of the following is not true?
Choose the correct alternative:
If A is a non-singular matrix such that A–1 = `[(5, 3),(-2, -1)]`, then (AT)–1 =
