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Let be an n x 1 column matrix satisfying 

. 

The n x n matrix 

is called a Householder Matrix. Which of the following is true?

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Let A, D, and P be n × n matrices satisfying AP = PD.

Assume that P is nonsingular and solve this equation for A. Must it be true that A = D?

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Let , where is a real number. Suppose that is invertible and . Which of the following matrices is the inverse of ?
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The dimension of is

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Select the correct option.

The National Development Plan (NDP) is closely associated with President________

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Which of the following are public institutions involved in the policy-making process?

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True or False?

“South Africa’s national interest can be articulated as people-centred, including promoting the well-being, development and upliftment of its people; protecting the planet for future generations; and ensuring the prosperity of the country, its region and continent.”

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Select the correct option:

The Cold War was an ideological war between_____________.

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True or False?

South Africa withdrew from the International Court of Justice.

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Select the correct option:

In South Africa, judicial authority is vested in________

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