If [(2,4)(3,2)]p=[(6)(8)]then the order of matrix P is: 1. 2 × 2 2. 2 × 1 3. 1 × 2 4. cannot be determined

Question

KnowledgeBoat · Accepted Answer

Let A = Let B = Let order of P be m × n: Thus, AP = B For matrix multiplication: The number of columns in A must equal the number of rows in P. ⇒ m = 2 The order of the product B = Rows of A × Columns of P. ⇒ 2 × 1 = 2 × n ⇒ n = 1. Order of matrix P = 2 × 1. Hence, option 2 is the correct option.

Mathematics

If [(2,4)(3,2)]p=[(6)(8)]then the order of matrix P is: 1. 2 × 2 2. 2 × 1 3. 1 × 2 4. cannot be determined

Matrices

Related Questions

If the orders of matrices A and B are m × n and p × q respectively, then which of the following is true for the product BA?
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If P and Q are two different matrices of order 3 × n and n × p, then the order of the matrix PQ is:
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Mathematics

If [(2,4)(3,2)]p=[(6)(8)]then the order of matrix P is: 1. 2 × 2 2. 2 × 1 3. 1 × 2 4. cannot be determined

Matrices

Related Questions

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If the orders of matrices A and B are m × n and p × q respectively, then which of the following is true for the product BA?
m = p
m = q
n = p
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If P and Q are two different matrices of order 3 × n and n × p, then the order of the matrix PQ is:
3 × p
p × 3
n × n
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